LOGARITHMIC  TABLES 

of  NUMBERS  and 
TRIGONOMETRICAL  FUNCTIONS 

BY 

BARON  VON  VEGA 


BARON  VON  VEGA'S 

LOGARITHMIC  TABLES 

of  NUMBERS  and 
TRIGONOMETRICAL  FUNCTIONS 


TRANSLATED  FROM  THE 

FORTIETH  or  DR.  BREMIKER'S 

THOROUGHLY  REVISED  AND  ENLARGED  EDITION 

By 
W.  L.  F.  FISCHER,  M.  A.,  F.  R.  S. 

Fellow  of  Clare  College,  Cambridge; 
Professor  of  Natural  Philosophy  in  the  University  of  St.  Andrews 


NEW  YORK 
D.  VAN  NOSTRAND  COMPANY,  INC. 

250  FOURTH  AVENUE 


PRINTED    IN    THE    UNITED    STATES    OF    AMERICA 

PRESS  OF 

DEPENDABLE    PRINTING    COMPANY,    INC. 
NEW    YORK,    N.    Y. 


PREFACE. 


The  existing  logarithmic-trigonometrical  Tables  to  seven  figures 
may  be  divided  into  three  classes.  While  the  first  class  which  contains 
the  logarithms  of  the  natural  numbers  is  very  nearly  the  same  in  all,  they 
differ  in  the  second,  or  trigonometrical  part  in  this,  that  the  first  class 
contains  the  trigonometrical  functions  for  the  greatest  part  of  the  quad- 
rant only  for  every  full  minute,  the  second  for  every  tenth  second,  and 
the  third  for  every  single  second.  The  oldest  logarithmic  table  to  seven 
figures  belongs  to  the  first  class,  viz.  that  of  Sherwin,  London,  1705.  It 
contained  the  logarithms  of  the  numbers  from  1  to  101000  and  besides  the 
sines,  tangents  and  secants,  also  their  logarithms  from  minute  to  minute. 
This  table  had  run  through  several  editions  by  the  end  of  the  last  century 
and  served  till  quite  recently  as  the  basis  of  innumerable  logarithmic 
tables,  in  some  of  which  the  natural  sines  and  tangents,  which  are  little 
wanted,  were  omitted,  while  others  of  them  were  enriched  by  more  or  less 
useful  additions.  Gardiner,  who  in  the  year  1741  prepared  a  third  edi- 
tion of  Sherwin 's  table,  constructed  at  the  same  time  a  table  proceeding 
from  10  to  10  seconds,  which  was  the  first  of  its  kind,  and  was  published 
in  London  in  the  year  1742  in  large  4to  x).  A  second  edition  of  this  table 
also  in  large  4to  with  the  addition  of  the  logarithms  of  the  sines  and  tan- 
gents for  every  single  second  up  to  4°  was  published  at  Avignon  in 
1770  2).  Upon  these  were  founded  Callet's  "tables  portatives"  which 
were  first  published  at  Paris  in  1783  and  afterwards  stereotyped.  On  ac- 
count of  their  more  convenient  shape  they  soon  displaced  the  former 
tables,  and  maintained  the  preference  up  to  the  most  recent  time.  The 
first  table  of  the  third  kind  is  the  large  one  by  Taylor  pulished  in  London 
in  1792.  Bagay's  tables3)  founded  upon  it  and  published  at  Paris  in 
1829,  appeared  in  a  much  smaller  form  in  consequence  of  the  smallness  of 
the  figures.  To  the  tables  of  the  first  and  second  class  belong  also  the 
logarithmic  tables  to  seven  figures  calculated  for  the  centesimal  division 
of  the  quadrant,  as  that  by  Hobert  and  Ideler  4)  proceeding  from  100th 
to  100th  of  a  grade  (centesimal  degree),  and  that  published  by  Delam- 
bre  5)  in  the  year  IX  of  the  republic,  in  which  the  interval  is  ten  times  as 
small,  viz.  10  centesimal  seconds. 

1)  Tables  of  Logarithms. 

2)  Tables  de  Logarithmes. 

3)  Nouvelles  Tables  astronomiques  et  hydrographiques.     Paris,  1829. 

4)  Neue  trigonometrische  Tafeln.    Berlin,  1799. 

5)  Tables  trigonomStriques  de'cimales,  calcu!6es  par  Ch.  Borda. 

V 


VI  PREFACE. 

For  tables  to  five  figures  the  interval  of  one  minute  may  be  consid- 
ered the  proper  one,  because  the  differences  will  not  be  too  large  to  admit 
of  the  proportional  part  for  seconds  being  mentally  calculated  with  readi- 
ness. In  tables  to  seven  figures  this  interval  has  always  been  recognized 
as  highly  inconvenient,  on  which  account  Gardiner  directed  his  attention 
to  the  diminution  of  the  interval.  It  is  even  necessary  to  diminish  the 
interval  to  one  second,  if  it  be  made  a  condition  that  the  proportional 
part  in  this  case  too  is  to  be  mentally  calculated.  This  very  small  inter- 
val, however,  gives  rise  to  several  new  inconveniences,  which  diminish  the 
advantage  of  smaller  differences  to  such  a  degree,  that  tables  of  this  kind 
have  never  come  much  into  use,  at  least  with  professional  computers. 
Their  large  form,  the  excessive  number  of  columns  on  every  page,  and  the 
circumstance  that  even  then  there  is  not  nearly  room  enough  for  all  the 
figures,  (the  initial  figures  of  the  logarithms  having  to  be  placed  at  the 
top  of  the  columns  and  the  differences  altogether  omitted,  so  that  they 
must  be  calculated  by  the  computer, )  make  the  advantage  of  the  smaller 
interval  very  questionable. 

The  editions  of  Vega's  Logarithmic  Tables  hitherto  published  had,  in 
the  trigonometrical  part,  the  interval  of  1  minute.  In  the  present  revised 
edition  care  has  been  taken  not  only  to  adopt  the  interval  of  10  seconds 
for  the  whole  quadrant  in  order  to  assign  a  higher  rank  to  the  tables,  but 
also  to  secure  all  those  advantages  which  by  attention  to  size  and  arrange- 
ment might  in  any  way  contribute  to  facilitate  the  looking  out  of  log- 
arithms. Although  the  tables  have  in  consequence  been  considerably 
enlarged,  the  price  has  not  been  raised,  so  that  the  advantages  of  the  en- 
larged edition  are  offered  to  purchasers  at  a  cost,  which  is  unexampled 
for  a  work  of  this  kind. 

Among  the  improvements  in  these  tables  we  may  mention : 
1.  The  systematic  arrangement  of  all  the  pages  of  each  section,  which 
has  for  its  object  that,  when  once  the  book  is  opened  at  the  proper  page, 
the  eye  with  very  little  practice  will  involuntarily  be  directed  to  the  place 
where  the  required  logarithm  is  to  be  found.  For  nothing  so  much  in- 
creases the  difficulty  of  using  tables  as  a  want  of  uniformity  in  the  posi- 
tion of  the  numbers.  To  attain  this  end  main  and  sub-divisions  have  been 
introduced,  which  are  easily  distinguished  and  afford  resting  points  to 
the  eye.  In  the  first  part  there  are  four  such  resting  points  on  every 
page,  viz.  on  the  left  page  the  lines  corresponding  to  the  numbers  10,  20, 
30  and  40  are  enclosed  in  double  rules;  on  the  right  page,  those  corre- 
sponding to  the  numbers  60,  70,  80  and  90.  The  intermediate  lines,  oppo- 
site to  the  numbers  1  up  to  9,  are  again  separated  by  narrow  spaces  into 
groups  of  three  each.  In  the  second  part  each  page  contains  61  lines. 
Since  five  principal  divisions  are  thus  formed,  the  third,  which  is  opposite 
to  the  number  30  either  from  the  top  or  from  the  bottom,  is  marked  by 
stronger  lines,  the  subdivisions  remaining  the  same  as  in  the  first  part. 
Finally  in  the  third  part  the  lines  corresponding  to  full  minutes  are  in- 
closed between  double  rules,  and  every  fifth  minute  is  marked  by  thicker 


PREFACE.  VII 

rules.  This  arrangement  which  was  first  employed  in  a  table  of  six  fig- 
ures 1),  has  at  the  same  time  the  advantage,  that  both  with  ascending  and 
descending  arguments,  as  in  the  2nd  and  3rd  part,  the  rules  have  always 
the  same  position  relatively  both  to  the  right  and  left  margin  of  the  page, 
an  advantage  which  was  unattainable  with  the  single  horizontal  lines 
hitherto  in  use. 

2.  The  type.    On  several  occasions  Mathematicians  and  Astronomers 
have  remarked,  that  the  strongly  shaded  and  equally  high  figures  that 
have  become  the  fashion  during  the  last  twenty  years,  though  they  pre- 
sent on  the  whole  a  better  appearance  on  the  page,  are  yet  far  less  legible 
than  the  older  ones.    Moreover  the  new  type  is  easily  injured  in  the  finer 
strokes  so  that  1  and  4  ;  0,  6  and  9  ;  3,  5  and  8  become  almost  undistin- 
guishable.    Besides  it  often  happens,  that  a  figure  thus  strongly  shaded, 
which  dazzles  the  eye  by  its  very  blackness,  does  not  leave  sufficient  blank 
space,  the  figures  being  both  too  close  to  each  -other  and  to  the  rules  which 
mark  the  intervals.    All  these  circumstances  render  the  use  of  the  tables 
more  difficult  and  more  fatiguing  to  the  eye.     Hence  a  type  has  been 
chosen  which,  being  extremely  slightly  shaded,  approaches  the  older 
form,  projects  partly  above  and  below  the  parallel  lines  which  inclose  the 
main  body  and  does  not  cover  the  white  ground  too  much,  while  it  is  of  a 
size  which  is  neither  too  small  to  be  easily  recognized  by  moderately 
strong  eyes,  nor  too  large  to  get  the  requisite  quantity  into  a  moderate 
compass.    The  founding  of  this  type  is  so  characteristic  that  even  after 
slight  injuries  which  are  inevitable  after  long  use,  there  will  be  little  fear 
of  mistakes.    Special  attention  has  been  paid  to  the  proper  distribution 
of  the  space  which  the  figures  and  rules  occupy  ;  and  the  size  of  the  page 
was  not  fixed  upon  till  after  repeated  trials,  and  after  all  circumstances 
had  been  taken  into  account  for  facilitating  the  use  of  the  tables. 

3.  In  the  trigonometrical  part  there  is  frequently  a  column  next  to 
that  of  the  degrees,  minutes  and  seconds,  expressing  the  same  arc  in  time  ; 
there  are  also  in  the  first  part  one  or  two  columns  more  which  give  the 
number,  or  the  number  increased  tenfold,  considered  as  a  number  of  sec- 
onds expressed  in  degrees,  minutes  and  seconds.    This  and  similar  other 
arrangements  have  here  been  omitted,  as  double  and  treble  arguments, 
which  are  not  out  of  place  in  nautical  tables,  but  tend  to  obstruct  the 
simple  use  of  a  table  to  seven  figures  without  affording  any  equivalent 
advantage.    On  the  other  hand,  in  the  first  part  at  the  foot  of  the  page 
the  twofold  reduction  of  the  argument  into  arc  has  been  indicated,  to- 


sin  x  c 

gether  with  the  logarithms  of  -  and  -  from  10  to  10  seconds,  from 

0  to  2°  46'  40".  The  latter  are  required  for  passing  from  log  arc  to  log  sin 
and  log  tan,  and  are  of  particular  value  in  geodetic  calculations,  where 
long  operations  have  sometimes  to  be  performed  with  small  arcs  which 

1)   Logarithmorum  VI  decimalium  nova  tabula  Berolinensis.     Berlin,  1852. 


VIII  "PREFACE. 

are  usually  expressed  in  seconds,  while  four  or  five  decimal  places  of  the 
second  have  to  be  retained. 

To  facilitate  the  interpolation,  small  tables  of  proportional  parts 
have  been  added  in  the  first  and  third  parts.  The  use  of  smaller  tyjpe  has 
enabled  us  to  give  them  completely  even  in  the  first  pages  for  every  differ- 
ence. These  tables  give  accurately  the  tenths  of  the  whole  difference,  so 
that  the  addition  of  the  tenths,  hundredths  and  thousandths  gives  the 
proportional  part  correct  to  the  last  figure,  which  is  not  the  case  with  the 
usual  arrangement.  According  to  a  very  common  arrangement  the  same 
small  table  of  proportional  parts  has  to  be  used  for  the  whole  extent  of 
the  table  in  its  vicinity,  without  reference  to  the  difference  whether  it  be 
an  unit  more  or  less;  but  this  has  been  rejected  as  inaccurate.  In  the 
third  part  want  of  space  has  prevented  all  the  differences  from  being 
given;  at  the  commencement,  i.e.  beginning  at  5°,  those  only  could  be 
inserted  which  differed  by  10  units,  then  those  differing  by  5,  by  3  etc., 
while  finally,  from  24°,  each  difference  is  set  down.  The  advantages 
which  these  tables  afford  in  interpolation,  will  be  best  appreciated  by 
those,  who  have  felt  their  want  in  all  other  tables. 

Special  attention  has  been  paid  to  the  correctness  of  the  seventh 
decimal  place.  Since  the  accurate  value  of  a  logarithm,  unless  it  be  a 
whole  number,  is  always  an  interminable  decimal  fraction,  the  part  which 
follows  the  first  seven  figures  necessarily  amounts  to  more  or  less  than  five 
units  of  the  8th  decimal  place.  In  the  former  case  the  number  in  the  sev- 
enth place  must  be  increased  by  one  unit,  in  the  latter  not,  in  order  that 
the  tabular  value  may  always  differ  by  less  than  half  an  unit  of  the  last 
place  from  the  true  value  of  the  logarithm.  Therefore  in  order  to  set 
down  the  seventh  place  correctly,  a  knowledge  of  the  following  figures  is 
required.  A  comparison  with  Vega's  Thesaurus  logarithmorum  l )  left 
only  those  logarithms  of  numbers  doubtful,  whose  logarithms  to  ten  fig- 
ures ended  with  500 ;  these  were  therefore  recalculated  to  fifteen  places. 
The  tenth  figures  proving  accurate  throughout,  even  in  many  other  cases 
where  the  computation  was  repeated,  it  was  found  unnecessary  to  recal- 
culate the  logarithms  ending  in  499  and  501.  The  case  was  however  far 
different  in  the  trigonometrical  section.  Here  the  Thesaurus  logarith- 
morum 1 ) ,  with  the  exception  of  a  few  cases  as  indicated  by  Vega  himself 
and  referring  to  that  part  of  the  table  in  which  the  interval  is  10  seconds, 
can  hardly  be  considered  as  anything  but  a  reprint  from  Vlack  2),  since 
many  comparisons  of  erroneous  places  have  shown  no  difference  between 
them.  Now  the  uncertainty  of  the  last  figure  amounts  to  4  units,  hence  it 
became  necessary  to  recalculate  all  the  logarithms  which  in  the  Thesaurus 
end  in  496,  497,  498,  499,  500,  501,  502,  503  and  504,  since  a  correction 
amounting  to  more  than  4  units  might  alter  the  last  figure  in  logarithms 
to  seven  places3).  These  calculations  have,  been  made  by  means  of 

1)  Thesaurus  logarithmorum  completus.    Lipsiae,  1794. 

2)  Trigonometria  artificialis.    Goudae  1633. 

3)  Other  errors,  too,  occur  which  cannot  be  considered  as  errors  of  the  press. 


PREFACE.  IX 

Briggs  's  table  to  14  places l ) ,  the  results  of  which  were  checked  by  the 
formation  of  differences,  and  it  has  been  found,  that  in  modern  tables, 
including  the  former  editions  of  these  tables,  many  logarithms  have  been 
set  down  wrong  in  consequence  of  too  much  confidence  being  placed  in 
the  Thes.  log.  For  the  comparison  of  the  sines  and  tangents  for  every 
second  the  Thes.  log.  gave  the  logarithms  to  ten  figures  only  up  to  2  de- 
grees, hence  other  means  had  to  be  adopted  for  the  interval  from  2  to  5 
degrees.  Interpolation  from  the  Trig.  Britt.  which  first  suggested  itself 
to  us  was  found  upon  repeated  trials  to  be  too  laborious,  as  it  required  six 
series  of  differences  to  be  taken  into  account.  Interpolation  between  the 
logarithms  to  ten  figures,  given  for  every  ten  seconds,  did  appear  less 
open  to  objection,  since  the  uncertainty  of  the  last  figure  would  be  in- 
creased in  the  interpolated  numbers.  Hence  direct  computation  was  pre- 
ferred, the  more  so,  as  with  proper  arrangement  it  led  most  rapidly  and 
safely  to  the  desired  result.  First  of  all  for  every  400  seconds  in  the 

O1T|     V  i"flTl     1C 

interval  from  0  to  5  degrees  the  logarithms  of  -     -  and  -     -  were  cal- 

X  X 

culated;  the  series  giving  these  functions  arranged  according  to  powers 
of  x  converge  very  rapidly,  so  that  the  first  four  terms  suffice  to  give  the 
logarithm  accurate  to  14  places,  and  for  the  interpolation  four  series  of 
differences  suffice.  These  logarithms  having  been  tested  by  differences 
and  reduced  to  the  interval  of  100  seconds  by  interpolation,  the  first  ten 
places  were  further  interpolated  to  an  interval  of  one  second;  the 
logarithms  of  the  numbers  being  added,  all  the  sines  and  tangents  to  ten 
figures  were  obtained.  Amongst  these  logarithms,  those  terminating  in 
499,  500  and  501  were  recomputed  to  three  more  figures  on  account  of  an 
uncertainty  of  an  unit  and  a  half  arising  from  the  interpolation.  This 
calculation  was  effected  by  means  of  the  logarithms,  previously  computed 
to  14  places  by  interpolation,  in  which  process  the  logarithms  of  natural 
numbers  given  to  14  figures  in  Briggs's  table  2),  were  used,  and  thus  the 
data  were  obtained  for  assigning  to  every  logarithm  which  the  table  was 
to  contain  its  strict  value,  independently  of  other  determinations.  The 
seventh  decimal  place  being  fixed,  the  preceding  six  were  tested  by  differ- 
ences, and  evidence  of  their  correctness  was  thus  established. 

In  order  to  guard  as  much  as  possible  against  errors  of  the  press 
three  proofs  were  read  previously  to  stereotyping,  and  one  subsequently. 
The  first  two  were  corrected  by  comparison  with  the  manuscript,  while 
the  third  was  tested  by  differences  in  order  to  be  secure  against  MS.  er- 
rors. Finally  the  last  figure  has  been  compared  with  the  tables  of  Gardi- 
ner 3)  and  Callet  4)  and  in  part  with  those  of  Taylor 5).  Gardiner,  who 

Thus  the  last  three  figures  517  of  log  tan  0°  2'  7"  are  given  too  great  by  90  and  the 
Sine  and  Cotangent  present  the  same  error. 

1)  Trigonometria  britanniea,  edited  by  Gellibrand.     Goudae  1633. 

2)  H.  Briggii  arithmetica  logarithmica.    London,  1624. 

3)  Table  of  logarithms.     London,  1826.. 

4)  Tables  portatives  de  logarithmes.    Paris,  1795.     Tirage  1821. 

5)  Tables  of  logarithms.    London,  1792. 


X  PREFACE. 

has  likewise  founded  his  logarithms  to  seven  figures  upon  an  abridgment 
of  those  to  ten  according  to  Vlack,  has  used  great  caution  to  insure  the 
correctness  of  the  7th  figure.  He  states  in  the  preface  to  his  tables,  that 
he  previously  tested  the  last  figure  in  Vlack  by  means  of  differences  and 
corrected  many  errors,  which  he  must  have  done  with  great  care,  for  we 
found  on  comparison  only  two  cases  in  which  the  last  figure  is  not  quite 
correct,  viz.  log  52943  and  log  cos  24°  55'  30",  for  which  he  gives  7238086 
and  9.9575404,  both  of  which  are  too  large  by  an  unit  of  the  last  place : 
the  accurate  values  of  these  logarithms  being  7238085  4683559  and 
9.9575403  4999866.  This  care  which  also  extends  to  that  part  of  the 
table,  which  contains  the  logarithms  for  every  second  from  0  to  72  min- 
utes, appears  not  to  have  met  with  due  appreciation  from  later  editors  of 
logarithmic  tables.  Indeed  it  seems  finally  to  have  fallen  completely  into 
oblivion,  as  appears  partly  from  the  additions  made  in  the  later  editions 
of  Gardiner  and  partly  from  the  circumstance,  that  after  the  publication 
of  the  Thesaurus  logarithmorum  in  which,  as  has  already  been  stated, 
only  some  few  of  Vlack 's  logarithms  have  been  corrected,  (most  of  them 
being  reprinted  unaltered),  the  editors  of  tables  have  taken  its  correct- 
ness for  granted,  either  to  avoid  the  trouble  of  a  strict  examination,  or 
confiding  in  the  accuracy  implied  by  the  offer  of  a  ducat  for  the  detection 
of  every  error,  no  similar  reward  having  ever  been  previously  offered. 
This  affords  the  only  explanation  of  the  fact,  that  in  more  recent  tables 
several  logarithms  have  been  brought  back  to  the  erroneous  values  which 
follow  from  Vlack 's  table,  though  they  are  correctly  given  by  Gardiner. 
Thus  1)  the  log  sin  2°  29'  50",  whose  accurate  value  is  8.6391970  5001389 
has  with  Gardiner  1  in  the  seventh  place  which  is  correct ;  but  since  Vlack 
and  Vega  give  the  log  to  ten  figures  6391970  499,  we  find  in  the  recent 
tables  and  also  in  Taylor  0  in  the  seventh  place.  2)  log  tan  5°  7'  40"  is 
8.9529682  4994086 ;  Vlack  and  Vega  give  9529682  501 ;  Gardiner  gives  2 
in  the  seventh  decimal  place ;  the  more  recent  tables,  including  Taylor 's 
give  3.  3)  log  tan  7°  23'  50"  is  9.1133684  5003401 ;  and  therefore  5  is  the 
correct  figure  in  the  seventh  place ;  but  Vlack  and  Vega  have  1133684  499, 
whence  the  recent  tables  including  Taylor's  give  4.  4)  log  tan  7°  59'  0" 
is  9.1468849  4989462,  therefore  9  is  the  correct  seventh  figure ;  but  Vega 
and  Vlack  have  1468849  501,  and  the  modern  tables  have  consequently  50 
as  the  last  two  figures.  5)  log  sin  20°  9'  0"  is  9.5371628  5003911,  but  in 
Vlack  and  Vega  5371628  499 ;  Gardiner  gives  9,  the  modern  tables  8  in 
the  7th  place. 

The  second  edition  of  Gardiner  published  in  the  year  1770  at  Avig- 
non contains  besides  all  the  logarithms  of  the  first  edition,  which  were 
adopted  without  alteration  l ) ,  the  logarithms  of  the  sines  for  every  sec- 
ond from  72'  to  4°,  and  log  tan  for  every  second  from  0  to  4°.  The  loga- 
rithms thus  added  have  not  the  same  degree  of  accuracy  as  those  trans- 

1)  A  few  false  prints,  discovered  during  the  28  years  that  the  tables  had  been 
used,  were  corrected,  but  many  new  errors  were  introduced. 


PREFACE.  XI 

ferred  from  the  older  table,  though  their  correctness  is  still  such  as  might 
well  have  served  as  a  pattern  for  later  tables.  For  a  comparison  shewed 
that  out  of  22032  logarithms  only  22  were  wrong  by  an  unit.  Both  these 
editions  are  in  large  4°,  which  renders  them  cumbrous.  For  this  reason 
and  in  consequence  of  Gardiners's  tables  becoming  scarce,  Callet  edited  a 
new  logarithmic-trigonometrical  table,  which  was  printed  by  Firmin 
Didot,  and  was  the  first,  in  which  the  printing  from  plates  was  success- 
fully carried  out.  Besides  a  long  introduction  on  the  calculation  and 
application  of  logarithms,  tables  of  the  natural  sines  and  cosines,  tangents 
and  cotangents,  and  natural  and  common  logarithms  of  numbers  to  20 
and  60  figures,  this  edition  contained  all  the  logarithms  of  the  Avignon 
edition,  with  this  addition  that  the  log  sin  and  log  tan  for  every  second 
which  the  latter  contained  up  to  4°  were  carried  one  degree  farther.  But 
in  this  enlargement,  the  degree  of  accuracy  introduced  by  Gardiner  is 
utterly  neglected.  A  comparison  with  this  part  of  the  tables  which  con- 
tains 6480  logarithms  not  occurring  in  Gardiner  gave  1368  logarithms  in- 
accurate by  an  unit  in  the  last  place.  Finally  the  last  figure  of  each  of 
the  36000  logarithms  of  the  second  part  was  compared  with  Taylor's 
table,  which  is  generally  considered  as  a  pattern  of  accuracy  in  the  last 
figure,  and  every  deviation  thus  found  was  subjected  to  a  separate  in- 
vestigation. This  examination  gave  35  cases,  in  which  the  last  figure  in 
Taylor  is  wrong  by  an  unit ;  of  these  19  coincide  with  the  erroneous  state- 
ment in  the  Avignon  edition. 

A  comparison  of  the  logarithms  of  the  first  part  with  Babbage  's  most 
carefully  edited  table,  in  which  elementary  principles  regarding  the  con- 
struction of  tables  were  first  established,  furnished  one  case,  that  of  log 
52943  which,  as  in  Gardiner,  was  given  too  great  by  an  unit.  The  same 
error  occurs  also  in  the  tables  of  Callet,  Taylor,  Delambre  and  others, 
evidently  because  all  have  copied  Gardiner  without  farther  examination. 

The  first  two  proofs  of  this  table  were  corrected  by  MM.  Lautensach, 
and  Goldammer,  and  a  third  revision  was  instituted  by  myself,  and 
checked  by  differences.  After  they  were  stereotyped  the  proofs  from  the 
plates  were  revised  partly  by  Mr.  Volkmann,  and  partly  by  Mr.  Koch. 

BREMIKER. 
Berlin,  August  1856. 


INTRODUCTION. 


The  common  Logarithms  (Briggs's)  are  the  only  ones  used  to  facili- 
tate extensive  numerical  calculations.  In  this  system,  the  logarithm  of  a 
number  is  the  index  of  that  power  of  10  which  is  equal  to  the  number.  If 
for  example  a  and  b  are  the  logarithms  of  the  numbers  A  and  B,  we  have 

10a  =  A  and  10b  =  B 
or 

log  A  =  a  and  log  B  —  b 

and  by  the  theory  of  powers  and  logarithms  it  follows,  that 

10n+b  _  AB  10a-u  _  A  1Qac  _  AC>  1QT  _  yj- 

B 
or 

A  °          a 

log  AB  =  a+  b,        log  —  =  a — b,        log  Ac  =  ca,        log  \/A  —  -> 
r>  c 

from  which  we  see  that  the  logarithm  of  a  product  is  the  sum  of  the 
logarithms  of  the  factors,  the  logarithm  of  a  quotient  the  difference  be- 
tween the  logarithms  of  the  dividend  and  divisor,  and  that  the  logarithm 
of  a  power  or  root  is  found  by  multiplying  or  dividing  the  logarithm  of 
the  radix  by  the  exponent. 

The  application  of  these  four  formulae,  to  which  all  calculations  with 
logarithms  are  limited,  rests  upon  the  condition  that,  given  a  number  we 
can  find  with  facility  its  logarithm,  and  conversely,  given  a  logarithm  we 
can  readily  find  the  corresponding  number.  It  is  the  object  of  logarith- 
mic tables  to  solve  these  two  problems. 

From  the  above  definition  of  logarithms  which  is  perfectly  sufficient 
for  practical  purposes,  it  follows  further  that 

log  1  =  0,      log  10  =  1,      log  100  =  2,      log  1000  =  3,  etc. 
log  0.1  =  —  1,      log  0.01  =  —  2,      log  0.001  =  —  3,  etc. 

and  these  are  the  only  numbers,  whose  logarithms  are  integers.  The 
logarithm  of  any  other  number  consists  of  an  integer  (termed  the  index 
or  characteristic)  followed  by  a  decimal  fraction  (mantissa),  which  has 
the  property  of  being  incapable  of  being  fully  written  out,  since  it  goes 
on  ad  infinitum.  Fortunately  it  is  only  in  rare  cases,  that  more  than 
seven  decimal  places  of  this  fraction  are  required :  in  general  indeed  four 
or  five  suffice,  and  it  is  only  for  the  most  accurate  computations  that  six 
or  seven  are  used. 

XII 


INTRODUCTION.  XIII 

TABLE  I. 

To  find  the  logarithm  of  a  given  number,  or  the  number  correspond- 
ing to  a  given  logarithm,  a  table  is  used  which  contains  the  logarithms  of 
all  whole  numbers  from  10000  to  100000.  Such  a  table  is  that  extending 
from  p.  6  to  p.  185.  It  is,  indeed,  preceded  by  a  few  pages  containing  the 
logarithms  of  1  to  1000 ;  but  this  is  done  more  for  the  sake  of  convenience 
than  because  it  is  necessary,  since  all  the  same  logarithms  also  occur  in 
the  rest  of  the  table. 

Given  a  number,  to  find  its  logarithm. 

If  the  given  number  consists  of  five  figures,  the  first  four  are  to  be 
sought  in  the  first  column  headed  N  (number),  and  the  last  in  the  hori- 
zontal line  at  the  top.  Then  the  last  four  figures  of  the  logarithm  will  be 
found  where  the  horizontal  line,  corresponding  to  the  first  four  figures  of 
the  number  meets  the  vertical  line  corresponding  to  the  fifth  figure.  The 
first  three  figures  of  the  logarithm  stand  in  the  column  headed  0,  and  are 
common  to  all  the  figures  in  the  same  horizontal  line.  Where  these  are 
not  given  on  the  horizontal  line,  the  immediately  preceding  three  figures 
have  to  be  taken,  except  when  the  first  of  the  last  four  figures  is  marked 
with  a  line  above  it,  in  which  case  the  first  three  figures  of  the  logarithm 
are  those  which  occupy  that  position  in  the  next  horizontal  line. 

Example  1.    Required  the  logarithm  of  24818. 

At  p.  35  looking  down  the  first  vertical  column  we  stop  at  2481,  and 
then  follow  the  horizontal  line  to  the  right  as  far  as  the  column  headed  8. 
Here  we  find  the  number  7668.  These  figures  are  annexed  to  the  number 
394,  which  remain  the  same  for  several  lines,  and  are  placed  three  lines 
higher  up  in  the  column  headed  0 ;  so  that  we  get  394  7668.  The  index 
which  is  not  set  down  in  the  table  is  4  throughout,  hence  log  24818 
=±  4.3947668. 

Example  2.    Required  the  logarithm  of  24833. 

Here  the  last  four  figures  are  0292,  the  first  of  which  is  marked 
with  a  line  (6),  hence  they  are  to  be  combined  with  395;  therefore  the 
logarithm  of  24833  is  4.3950292. 

When  the  given  number  besides  an  integer  part  of  five  figures 
contains  a  decimal  fraction,  the  difference  of  the  logarithms  of  the  two 
whole  numbers  of  five  figures  between  which  the  given  number  lies  has 
to  be  multiplied  with  the  decimal  fraction,  and  the  product  to  be  added 
to  the  logarithm  of  the  whole  number.  Thus  let  the  number  be  24833.73 ; 
this  being  contained  between  24833  and  24834  whose  logarithms  differ 
by  0467  —  0292  =  175,  we  multiply  175  by  0.73  which  gives  128. 
Adding  this  to  log  24833,  which  was  4.3950292,  we  get  4.3950420  for  the 
log  of  24833.73.  To  facilitate  this  multiplication  every  page  contains 
small  additional  tables  in  a  column  headed  P.  P.  (proportional  parts) 
which  for  each  of  the  differences  occurring  on  that  page  give  the  several 


XIV  INTRODUCTION. 

tenths,  whence  the  hundredths,  thousandths,  etc.  are  easily  deduced. 
In  the  last  example  we  make  use  of  the  table  headed  175,  from  which 
we  get 

for  0.7 122.5 

for  0.03 5.25 

together    127.75 

of  which  the  decimal  fraction  is  rejected,  but  the  last  figure  is  increased 
by  an  unit,  since  the  omitted  fraction  amounts  to  more  than  0.5. 

By  means  of  the  logarithms  of  the  numbers,  having  an  integer  part 
of  five  figures,  it  is  easy  to  find  those  of  all  other  numbers  written  with 
the  same  significant  figures;  for  their  logarithms  will  only  differ  in  the 
index.  Thus  if  the  logarithm  of  24.83373  is  required,  we  first  find  the 
log  of  24833.73  and  subtract  from  it  log  1000.  Since  the  latter  =  3, 
we  get  log  24.83373  =  1.3950420.  In  the  same  way  log  248337300  = 
log  24833.73  +  log  10000  =  log  24833.73  +  4  =  8.3950420.  If  the  given 
number  is  a  proper  fraction,  as  for  instance  0.06103,  we  find  at  p.  108 


log  61030  =  4.7855434,    and    since    0.06103  =  ^QQQQQQ    therefore    log 

0.06103  =  log  61030  —  6  =  4.7855434  —  6,  which  would  be  negative,  viz. 

—  1.2144566 ;  but  it  is  more  convenient  for  calculation  to  write  8.7855434 

—  10,  so  that  the  fraction  in  the  logarithm  may  be  positive.    The  general 
rule  then,  is :  form  a  number  of  five  figures  in  the  integer  part  from  the 
given  number  either  by  annexing  cyphers  or  by  separating  the  first  five 
figures ;  find  the  fractional  part  of  the  logarithm  of  this  number,  and  give 
an  index  less  by  one  unit  than  the  number  of  figures  in  the  integer  part 
of  the  given  number.    The  index  of  a  proper  fraction  is  found  by  sub- 
tracting the  number  of  cyphers  between  the  decimal  point  and  the  first 
significant  figure  from  9. 

Given  a  logarithm,  required  the  corresponding  number 

A  logarithm  being  given,  and  it  being  required  to  find  the  cor- 
responding number,  we  first  look  out  the  first  three  figures  of  the  decimal 
fraction  in  the  logarithm  in  the  column  headed  0,  and  then  in  the  columns 
headed  0,  1,  2  .  .  .  those  four  figures,  which  are  next  less  than  the  re- 
maining four  figures  of  the  given  logarithm.  We  now  take  out  from  the 
vertical  column  headed  N  the  number  consisting  of  the  four  figures, 
which  are  on  the  same  horizontal  line  that  contains  the  last  four  figures, 
and  as  fifth  figure,  the  one  at  the  head  of  the  column.  For  example,  if 
the  logarithm  2.5833980  be  given,  we  find  at  p.  62  the  logarithm  583  3915, 
to  which  corresponds  the  number  38317.  The  difference  between  it 
and  the  next  greater  logarithm  is  113,  whilst  the  difference  between  it 
and  the  given  logarithm  is  65.  Now  the  figures  following  the  first  five 
places  are  found  by  dividing  65  by  113,  that  is  to  say,  the  next  figure  is 
obtained  by  taking  this  fraction  10  times,  the  two  next  by  taking  it  100 


INTRODUCTION.  XV 

times,  the  three  next  by  taking  it  1000  times.   It  would  be  inexpedient 
to  take  more,  because  even  the  third  figure  is  incertain.  But  this  division 
may  be  facilitated  by  the  table  of  proportional  parts  headed  113.    We 
take  from  it  the  next  figure  5  corresponding  to  56.5  which  is  next  in- 
ferior to  65 ;  subtracting  56.5  from  65,  there  remains  8.5.    Taking  this 
tenfold,  which  gives  85,  we  find  opposite  to  the  next  inferior  number 
79.1  the  number  7  as  the  next  figure  in  the  number,  and  again  increasing 
the  difference  85  —  79.1  =5.9  tenfold,  which  gives  59,  and  looking  for 
the  next  inferior  number  in  the  table  (which  is  56.6)  we  find  the  figure 
5,  hence  the  figures  following  the  first  five  are  575,  and  the  number  is 
written  with  the  figures  38317575;  and  since  the  given  logarithm  has 
the  index  2,  the  decimal  point  must  be  put  after  the  third  figure ;  there- 
fore the  required  number  is  383.17575.    The  index,  however,  might  have 
any  other  value,  the  number  would  still  consist  of  the  same  figures,  only 
the  position  of  the  decimal  point  would  change;  thus  if  the  logarithm 
were  9.5833980,  the  corresponding  number  would  contain  an  integer 
part  of  10  figures.    But  since  the  tables  furnish  only  the  first  eight  figures 
of  the  number,  as  found  above,  two  cyphers  must  be  annexed,  giving  the 
number  3831757500.    If  the  logarithm  were  7.5833980  — 10,  the  corre- 
sponding number  would  be  0.0038317575.    Hence  the  computation  of  the 
proportional  part  which  with  a  little  practice  and  by  making  use  of  the 
small  table  of  proportional  parts  may  be  made  mentally,   (so  that  no 
other  figures  need  be  written  down  than  those  actually  sought),  would 
stand  thus : 

Given   logarithm      ....    2.5833980 

pag.  62.  number  383.17  .     .    2.5833915 

Difference    65 
by  the  table  for  the  difference  113        5     ....    56.5 

85 
again    ....    7    ....       79.1 

.    .     .    .    .     .    5     ....          59 

required  number  =  383.17575 

In  logarithmic  calculations  cases  occur,  in  which  the  logarithm 
of  a  logarithm  has  to  be  taken.  If  for  example  a  number  is  to  be  raised 
to  a  power,  whose  exponent  is  a  number  of  many  figures,  or  a  similar 
root  has  to  be  extracted,  we  should  have  to  multiply  or  divide  the  log- 
arithm of  the  given  number  by  another  large  number ;  but  this  is  again 
best  done  by  the  aid  of  logarithms.  As  a  first  example  let  it  be  required 
to  raise  the  number  23.90087  to  the  power  1.1087023 ;  here  we  take  the 
log  of  23.90087  which  is  =  1.3784137 ;  and  this  must  be  multiplied  by 
1.1087023 ;  hence  we  add  the  logarithms  of  both  the  numbers 

log  1.3784137  =  0.1393796 
log  1.1087023  =  0.0448149 
log  1.5282504  =  0.1841945 


XVI  INTRODUCTION. 

and  look  out  the  number  1.5282504  corresponding  to  their  sum.  This  is 
the  logarithm  of  the  required  power ;  hence  this  power  is  the  number, 
corresponding  to  this  logarithm,  viz.  33.748186.  Again,  to  take  a  second 
example,  required  the  7.001705th  root  of  0.791 ;  here  we  should  have  to 
divide  the  log  of  0.791  which  is  9.8981765  —  10  by  the  index  of  the  root. 
Now  in  this  case  the  dividend  is  a  difference,  and  it  is  simpler  to  restore 
the  negative  logarithm  and  to  divide  it  than  to  divide  the  two  terms  of 
the  difference  separately,  and  to  get  the  quotient  by  the  subtraction  of 
the  results.  Now  the  negative  logarithm  is  =  —  0.1018235 ;  hence 

log  0.1018235  =  9.0078480  —  10 

log  7.001705    =  0.8452038 

log  0.0145427  =  8.1626442  — 10 

Corresponding  to  the  difference  8.16226442  — 10  we  find  the  number 
0.0145427,  which  is  the  logarithm  of  the  root;  but  it  is  negative,  since  it 
has  arisen  out  of  the  division  of  a  negative  logarithm  by  a  positive  num- 
ber; hence  the  tabular-logarithm  is  10  —  0.0145427  —  10  =  9.9854573 
—  10  and  the  corresponding  number  is  —  0.9670687  which  is  the  required 
root. 

TABLE  II. 

Table  II,  (p.  188  to  p.  287)  serves  to  find  log  sin  and  log  tan  of  an 
arc  not  greater  than  5°,  or  the  log  cos  and  log  cot  of  an  arc  lying  be- 
tween 85°  and  90,°.  The  left  hand  page  of  the  table  contains  the  loga- 
rithms of  the  sines  of  arcs  between  0  and  5  degrees.  Degrees  and  minutes 
are  given  at  the  top,  the  second  on  the  left  hand  margin.  These  loga- 
rithms are  at  the  same  time  the  log  cos  of  the  complementary  angles, 
the  degrees  and  minutes  of  which  are  indicated  at  the  bottom  of  the  page, 
the  seconds  on  the  right  hand  margin.  Thus  according  to  p.  210  log  sin 
1°  11'  46"  =  8.3196173,  which  is  also  log  cos  88°  48'  14".  The  right 
hand  page  is  constructed  exactly  similarly  with  regard  to  log  tan  of  arcs 
between  0  and  5°  and  log  cot  of  arcs  between  85°  and  90°. 


Given  an  arc,  required  its  log  sin  or  log  tan. 

For  every  full  second  the  log  sin  and  log  tan  are  given  in  the 
If  the  arc  contains  additionally  a  fractional  part  of  a  second,  the  pro 
portional  part  has  to  be  calculated  in  the  same  manner  as  for  the  loga- 
rithms of  numbers.  For  this  purpose,  the  logarithm  corresponding  to  the 
integer  part  of  the  seconds  in  the  given  arc  is  subtracted  from  the  log 
corresponding  to  the  next  full  second,  or  vice  versa,  the  difference  is 
multiplied  by  the  fractional  part  of  the  second  in  the  given  arc,  and  the 
product  added  to,  or  substracted  from  the  former  logarithm,  according 
as  the  logarithms  go  on  increasing  or  decreasing ;  the  former  being  here 
the  case  for  descending  arguments  and  the  latter  for  ascending  argu- 
ments. Thus  let  it  be  required  to  find  log  sin  2°  19'  49".71.  At  page 


INTRODUCTION.  XVII 

234  we  find  log  sin  2°  19'  49"  =  8.6091653,  differing  from  the  next 
greater  log  of  sin  2°  19'  50"  by  518,  which  multiplied  by  0.71  gives  367.78 
instead  of  which  we  take  368.  Adding  this  proportional  part  to  the 
preceding  logarithm  we  get  8.6092021  as  the  required  log  sin  2°  19'  49".71. 
As  a  second  instance  let  us  find  log  cot  86°  53'  11".374.  According 
to  p.  251  this  log  lies  between  8.7355695  and  8.7355307  the  difference  of 
which  is  388  ;  multiplying  this  by  0.374  we  get  145  which  has  to  be  sub- 
tracted from  the  former  of  these  logarithms  since  they  decrease  for  as- 
cending arguments  ;  hence  the  required  log  is  8.7355550. 

Given  the  log  sin  or  log  tan  of  an  arc,  required  the  arc. 

The  process  of  finding  the  arc  corresponding  to  a  given  log  sin  or 
log  tan  by  means  of  table  II  is  exactly  the  same  which  is  adopted  in 
finding  the  number  corresponding  to  a  given  logarithm  in  table  I.  We 
look  out  the  logarithm  either  next  above  or  next  below  the  given  one, 
according  as  the  logarithms  increase  or  decrease  with  the  increase  of 
the  arc;  form  the  difference  between  it  and  the  given  logarithm,  and 
divide  it  by  the  whole  difference  between  the  two  consecutive  logarithms 
of  the  table  between  which  the  given  log  lies.  The  quotient  is  the  frac- 
tional part  of  a  second  which  has  to  be  added  to  the  whole  number  of  sec- 
onds contained  in  the  arc  corresponding  to  the  logarithm,  from  which 
we  had  started;  for  example  let  8.5139150  be  the  given  log  cos.  The 
next  greater  log  of  the  table  is  according  to  page  224,  8.5139642,  differ- 
ing from  the  given  one  by  492,  but  from  the  next  smaller  one  in  the 
tables  by  645  ;  hence  the  arc  is  that  corresponding  to  the  preceding  loga- 


rithm,  which  is  88°  7'  43"  increased  by  j      or  0".763,  i.  e.  88°  7'  43".763. 

645 

When  a  calculation  refers  to  arcs  under  30  minutes,  and  it  is  re- 
quired that  the  seventh  decimal  place  of  the  logarithms  shall  be  perfectly 
accurate,  a  condition  which  occurs  in  higher  geodesy,  we  have  to  take 
into  account  five  decimal  places  in  the  seconds  in  passing  from  the  arc 
to  log  sin  and  log  tan,  or  vice  versa.  In  this  case  the  use  of  table  II  be- 
comes inconvenient  both  in  consequence  of  the  long  multiplications  and 
divisions  in  calculating  the  proportional  parts,  and  because  it  would  be 
necessary  to  take  into  account  second  differences.  Here  the  application 
>f  table  I  is  preferable.  To  find  from  it  the  log  sin  or  log  tan  of  an  arc, 
convert  it  into  seconds,  take  the  log  of  the  number  of  seconds,  and  add 
to  it  the  corresponding  value  of  S  or  T,  given  at  the  bottom  of  the  page, 
each  of  which  begins  with  4.685.  Thus  if  it  be  required  to  find  log  sin 
and  log  tan  of  22'  59".7083,  we  have  (see  p.  13) 

log  1377.7083  =  3.1391573 

S  22'  58"  =  4.6855716 

T  22'  58"  =  4.6855813 

log  sin  =  7.8247289 

log  tan  =  7.8247386 


XVIII  INTRODUCTION. 

where  in  interpolating  we  have  only  to  take  account  of  whole  seconds. 
If  the  arc  were  137".77083,  we  should  as  before  take  log  arc  from  p.  13, 
but  the  numbers  S  and  T  with  the  argument  2'  18" ;  from  p.  2 ;  thus  we 
should  have 

log  137".77083  =  2.1391573 

S  2'  18"  =  4.6855748 

T  2'  18"  =  4.6855749 

log  sin  =  6.8247321 

log  tan  =  6.8247322 

If  conversely,  it  be  required  to  find  the  arc  corresponding  to  a  given 
log  sin  or  log  tan,  we  first  take  the  arc  to  the  nearest  second  below  from 
table  II,  and  look  out  in  table  I  the  corresponding  values  of  S  and  T ; 
we  subtract  these  from  the  given  logarithm  and  take  out  the  number  cor- 
responding to  the  difference,  which  gives  the  required  arc  in  seconds. 
Thus  let  7.1690522  be  a  given  log  tan.  According  to  p.  189  the  corre- 
sponding arc  lies  between  5'  4"  and  5'  5";  at  p.  3  the  value  of  T  is 
4.6855752,  hence 

log  tan    ....    7.1690522 
T  5'  4"    .     .     .     .    4.6855752 

Difference     2.4834770  =  log  304.4227' 

hence  arc  =  304".4227  or  5'  4".4227. 

In  this  method  it  would  be  necessary  to  refer  to  two  or  even  three 
different  places  of  the  tables ;  to  avoid  this  inconvenience  a  table  has  been 
added  at  p.  575  which  for  arcs  up  to  35'  gives  with  much  more  readiness 
all  transitions  between  S,  arc  and  log  sin  as  well  as  those  between  T,  arc 
and  log  tan.  For  extensive  geodetic  calculations  this  table  may  be  taken 
out  of  the  book  and  mounted  on  cardboard,  to  be  used  as  an  auxiliary 
table,  besides  which  we  require  only  the  table  of  logarithms  of  the  num- 
bers of  the  seconds  in  the  arc.  In  regard  to  the  construction  of  this  table, 
it  is  to  be  observed,  that  the  value  of  S  =  4.6855749  holds  up  to  1'  39"  and 
log  sin  6.681.  From  1'  40"  or  log  sin  =  6.682  ...  the  succeeding  value 
of  S  =  4.6855748  is  to  be  used.  All  other  values  of  S  answer  accurately 
to  the  arcs  and  log  sin  on  the  same  line  with  them,  so  that  in  passing  from 
the  arc  or  log  sin  to  the  number  S  that  value  of  S  has  to  be  taken,  which 
lies  nearest  to  the  given  arc  or  log  sin.  The  same  rule  holds  for  T. 
Hence,  except  for  a  few  values  of  S  and  T  towards  the  end  of  the  table 
which  increase  by  10  units  at  a  time,  all  interpolation  is  avoided,  as  with 
a  glance  at  the  table  we  can  at  once  take  out  the  required  S  or  T. 


TABLE  III. 

This  table  contains  for  every  ten  seconds  of  the  quadrant  the  loga- 
rithms of  the  sines,  cosines,  tangents,  and  cotangents.     From  0  to  45° 


INTRODUCTION.  XIX 

the  degrees  are  placed  at  the  top  of  the  page ;  the  minutes  and  seconds, 
denoted  with  '  and  "  on  the  left  hand  margin,  which  is  to  be  combined 
with  the  heading  at  the  top  of  the  page.  From  45°  to  90°  the  degrees  are 
put  at  the  bottom  of  the  page,  the  minutes  and  seconds  at  the  right  hand 
margin,  and  the  name  of  the  trigonometrical  function  at  the  foot  of  the 
column.  Arguments  that  are  opposite  one  another  are  complementary 
(i.  e.  make  together  90°)  and  the  sines  and  tangents  (i.  e.  their  loga- 
rithms) of  an  arc  above  45°  are  also  placed  opposite  to  the  sines  and;  tan- 
gents of  its  complement,  because  the  former  are  respectively  the  cosines 
and  cotangents  of  the  latter,  and  vice  versa.  For  the  sake  of  symmetry 
the  sine  is  placed  next  to  the  argument,  next  to  it  the  tangent,  which  is 
followed  by  the  cotangent,  and  this  by  the  cosine ;  and  since  for  comple- 
mentary angles  the  same  logarithms  hold,  but  in  an  inverse  order,  there 
is  again  next  to  the  argument  the  sine,  followed  in  order  by  the  tangent, 
cotangent,  and  cosine,  as  may  be  seen  by  the  names  at  the  top  and  bottom 
of  the  columns.  The  differences  of  any  two  consecutive  logarithms  are 
placed  for  the  sine  and  cosine  immediately  to  the  right  on  the  intermedi- 
ate line,  and  are  headed  d  (differentia) ;  for  the  tangents  and  cotangents 
they  are  also  placed  between  these  columns  on  the  intermediate  line  and 
are  headed  d.  c.  ( differentia -communis)  since  these  differences  hold  for 
both.  The  sines  and  cosines'  of  all  arcs  in  the  quadrant  are  proper  frac- 
tions, and  so  are  the  tangents  for  arcs  below  45° ;  hence  their  logarithms 
would  be  negative.  But  the  index  and  the  fraction  have  been  made  posi- 
tive by  the  addition  »f  10,  so  that  — 10  has  to  be  supplied.  For  tangents 
of  arcs  between  45.° -and  90°  this  supplement  must  be  omitted. 

Given  an  acute  angle,  required  its  sine  (log sin). 

As  the  table  contains  the  sine  only  for  every  tenth  second,  we  have  to 
interpolate  for  the  units  and  its  decimal  parts.  This  is  done,  as  in  the 
case  of  the  logarithms-  of  numbers,  by  multiplying  the  decimal  fraction 
formed  by  the  tenth  part  of  the  units  with  the  appended  fraction  by  the 
difference,  and  adding  the  product  to  the  log  sin  of  the  next  inferior  mul- 
tiple of  10";  for  example  let  it  be  required  to  find  log  sin  18°  51'  21". 21. 
Here  the  sine  of  18°  51'  20"  is  9.5094491,  which  differs  from  the  next  in 
the  table  by  616 ;  multiplying  this  by  0.721  we  get  444,  which  added  to  the 
preceding  logarithm  gives  9.5094935,  the  number  required.  The  forma- 
tion of  this  product,  when  no  separate  auxiliary  table  of  proportional 
parts1)  is  employed,  is  facilitated  by  the  small  tables  of  differences  on 
the  margin.  Since  for  want  of  space  it  has  not  been  possible  to  put  down 
all  these  differences  we  in  every  case  take  the  nearest ;  in  the  present  in- 
stance we  take  that  for  614.  It  gives 

1)   Bremiker,  Tafel  der  Proportionaltheile  (Table  of  proportional  parts).     Ber- 
lin, Ferd.  Diimmler,  1843. 


XX  INTRODUCTION. 

for  0.7      ....  429.8 

for  0.02    ....  12.3 

for  0.001       .     .     .  0.6 

together  442.7 

But  since  the  difference  616,  is  greater  by  2  than  614,  we  have  to  add 
0.721  X  2  =  1.4,  which  gives  444  as  the  proportional  part.  Similarly  we 
might  have  made  use  of  the  table  headed  617  on  the  left  hand  page,  which 
would  have  given  444.9  and  from  this  we  would  have  had  to  subtract 
0.721  X  1  i-  e.  0.7,  so  that  the  result  would  have  been  the  same. 

Given  an  acute  angle,  to  find  its  tangent  (log  tan). 

The  logarithms  of  the  tangents  like  those  of  the  sines  go  on  increas- 
ing as  the  arc  increases  from  0  to  90°,  so  that  the  proportional  part  has 
again  to  be  added.  Its  computation  is  exactly  like  that  for  the  sine :  the 
tenth  part  of  the  number  formed  of  the  units  and  the  decimal  part  of  the 
seconds  is  multiplied  by  the  whole  difference  and  the  product  added  to 
the  log  tan  of  the  next  inferior  arc  in  the  table,  and  here  again,  if  better 
means  are  wanting,  recourse  may  be  had  to  the  small  difference  tables  in 
the  margin.  Thus  let  it  be  required  to  find  log  tan  56°  22'  3".89.  At  page 
491  we  find  log  tan  56°  22'  0"  =  0.1770234,  differing  from  the  next 
greater  tangent  by  457  (a  difference  found  above  the  logarithm  since  the 
argument  is  ascending).  The  small  table  for  457  gives 

for  0.3  ...  137.1 

0.08  .     .     .  36.6 

0.009  .     .     .        4.1 

for  0.389  .     .     .  177.8  or  178 

Adding  178  to  the  preceding  log,  we  find  0.1770412  the  required  log  tan. 

We  may  here  observe,  that  a  computer  who  has  had  some  little  prac- 
tice, shortens  the  calculation  of  the  proportional  parts  very  materially ; 
and  in  the  last  example  he  would  not  write  down  any  figures  excepting 
those  in  the  required  logarithm.  He  would  proceed  in  the  following  man- 
ner. Having  opened  the  book  at  the  proper  page,  in  this  case  p.  491,  he 
points  with  a  finger  of  the  left  hand  to  log  tan  56°  22'  0".  A  glance  shews, 
that  457  is  the  proper  difference.  (A  practised  computer  in  order  to 
avoid  the  risk  of  a  mis-print  will  verify  at  the  same  time,  that  this  is 
really  the  difference  of  the  two  logarithms  standing  one  above  the  other. ) 
Keeping  the  finger  of  the  left  hand  pointing,  he  takes  from  the  small  table 
headed  457  with  the  argument  0.389  first  4.1  for  the  last  figure  9 ;  this  he 
adds  mentally  to  36.6,  which  corresponds  to  the  second  figure  8;  this 
again  gives  40.7,  which  is  added  to  137.1,  which  number  is  opposite  to  3. 
The  sum  177.8  for  which  178  is  taken,  is  added  to  the  last  four  figures 
0234  of  the  logarithm,  to  which  the  finger  points ;  this  gives  0412  as  the 
last  four  figures  of  the  required  log.  These  are  finally  read  together  with 


INTRODUCTION.  XXI 

the  first  figures  0.177,  and  written  down  in  their  proper  place  on  the  pa- 
per on  which  the  calculation  is  made.  The  mental  calculation  is  much 
facilitated  by  acquiring  the  habit  of  forming  the  sums  of  two  numbers 
not  as  usual  from  right  to  left,  but  from  left  to  right,  which  has  the  ad- 
vantage of  giving  the  last  four  figures  of  the  logarithm  in  this  order,  and 
enables  the  calculator  to  write  down  from  left  to  right  the  whole  loga- 
rithm, consisting  of  eight  figures.  Reading  sums  and  differences  of  two 
logarithms  placed  one  above  the  other  from  left  to  right  has  in  general 
many  advantages  in  calculations,  both  because  it  is  more  convenient  to 
write  from  left  to  right,  and  because  we  may  use  the  number  thus  read  as 
the  argument  for  looking  out  the  corresponding  arc,  without  writing 
down  the  number  itself,  which  is  frequently  no  further  needed. 

Given  an  acute  angle  to  find  its  cotangent. 

The  logarithms  of  the  cotangents  and  tangents  of  the  same  arc  al- 
ways have  the  same  sum  10,  or  properly  0,  since  we  have  mentally  to 
supply  either  to  the  tan  or  cot  the  number  —  10.  Hence  the  cotangents 
continually  decrease  as  the  arc  increases  from  0  to  90°,  and  the  propor- 
tional part  which  has  to  be  calculated  with  the  same  difference  as  the  tan- 
gent must  be  subtracted.  Thus  let  it  be  required  to  find  log  cot  14°  55' 
18".02.  At  page  379  we  find  first  the  logarithm  0.5743959  as  log  cot  14° 
55'  10"  with  the  difference  846.  The  small  table  for  the  difference  845 
gives  for  8.02  the  proportional  part  677.7,  which  on  account  of  the  differ- 
ence being  greater  by  1  has  to  be  increased  by  0.8,  giving  678.5 ;  this  sub- 
tracted from  the  above  number  leaves  0.5743281  the  required  log  cot. 

Given  an  acute  angle,  to  find  its  cosine. 

The  log  cos  is  found  in  the  same  manner  as  the  log  cot,  because  it,  too, 
decreases  continually  with  the  increase  of  the  acute  angle.  If  the  angle  is 
45°  41'  44".25,  we  subtract  from  log  cos  45°  41'  40"  which  is  9.8441569 
with  the  difference  216  (see  p.  555)  the  product  of  0.425  X  216,  i.  e.  92, 
which  gives  the  required  log  cos  =  9.8441477. 

Given  a  log  sin,  cos,  tan  or  cot,  required  the  corresponding  acute  angle. 

When  the  acute  angle  corresponding  to  a  given  logarithm  of  a  trigo- 
nometrical function  has  to  be  found  from  the  table,  two  cases  must  be  dis- 
tinguished, according  as  the  logarithms  and  arcs  do  or  do  not  increase 
simultaneously.  In  the  former  which  is  that  of  the  sines  and  tangents  we 
look  out  the  next  smaller  logarithm,  subtract  it  from  the  given  one  and 
divide  this  difference  by  the  whole  difference  between  it  and  the  next 
greater  logarithm  in  the  table.  The  quotient  being  put  in  the  form  of  a 
decimal  fraction,  the  decimal  point  is  moved  one  place  to  the  right,  and 
the  result  will  be  the  number  of  units  and  parts  of  an  unit  of  a  second, 


XXII  INTRODUCTION. 

which  have  to  be  taken  together  with  the  arc  corresponding  to  the  log 
from  which  we  started.  The  division  may  be  executed  by  the  aid  of  the 
tables  of  differences.  Example  :  log  sin  being  9.8725738  we  find  at  p.  540 
the  next  smaller  log  sin  9.8725654,  corresponding  to  the  arc  48°  13'  10", 
and  differing  from  the  given  log  by  84,  whilst  the  whole  difference  is  188  ; 
now  a  glance  at  the  small  table  headed  188  shews  that  84  contains  0.4,  and 
opposite  4  the  table  gives  75.2,  the  number  next  below  84,  and  differing 
from  it  by  8.8.  These,  according  to  the  same  table,  give  0.04  with  a  re- 
mainder 1.3,  because  7.5  corresponds  to  .04;  this  remainder  1.3  gives  .007 
more  ;  hence  the  whole  decimal  fraction  is  0.447.  Moving  the  decimal 
point  one  place  to  the  right,  we  get  4.47  as  the  number  of  seconds  which, 
added  to  48°  13'  10",  give  48°  13'  14".47  for  the  required  arc. 

Should  the  margin  not  contain  a  difference  table  for  the  whole  differ- 
ence we  may  make  use  of  the  one  calculated  for  the  next  greater  or 
smaller  number,  provided  only  we  increase  or  diminish  the  numerator  of 
the  required  fraction  in  the  same  proportion.  Let  the  given  fraction  be 
p 
—  ,  and  let  the  table  for  Q  ±  q  be  used  ;  it  suffices  to  take  instead  of  P  the 

*v 

p 

number  P  ±  —  q  and  use  this  as  argument.    Thus  if  there  be  given  log  tan 

=  9.2632000,  the  next  smaller  log  tan  (see  p.  352)  is  9.2631240,  and  the 
difference  760  has  to  be  divided  by  1188.  If  now  the  table  for  1180  be 

7fiO 
used,  we  must  take  760  —  77^  X  8  =  760  —  5  =  755  instead  of  760; 


and  corresponding  to  this  we  find  by  the  table  0.640.    Similarly  we  might 
make  use  of  the  table  for  1190,  in  which  case  we  must  increase  760  by 

7fifl 
2  X  -MQQ  or  by  1  ;  and  corresponding  to  761  the  table  for  1190  gives  the 

lloo 

same  result,  viz.  0.640.    Hence  the  arc  corresponding  to  the  given  log  tan 
is  10°  23'  16".40. 

When  the  logarithms  decrease  with  the  increase  of  the  arc,  which  is 
the  case  with  the  cot  and  cos,  the  next  greater  logarithm  is  looked  out, 
from  it  the  given  one  is  subtracted  and  this  difference  divided  by  the 
whole  difference  ;  the  rest  of  the  process  remains  as  before.  For  example 
let  log  cos  —  9.7107395;  at  p.  475  we  find  log  cos  59°  5'  10"  =  9.7107512 
which  is  next  greater  than  the  given  one,  differing  from  the  given  log  by 
117,  whilst  the  whole  difference  is  352,  and  by  the  small  table  for  352  we 


get         —  0.332  ;  hence  the  arc  is  59°  5'  13".32. 

od« 

When  the  sines  are  to  be  determined  for  an  angle  exceeding  90°,  we 
subtract  from  it  one,  two,  or  three  right  angles  as  the  case  may  be,  and 
take  the  sine  of  the  remaining  acute  angle  when  two  right  angles  have 
been  subtracted,  but  take  the  cosine  when  one  or  three  right  angles  have 
been  subtracted.  It  is  to  be  observed,  besides,  that  the  sines  are  negative 
in  the  third  and  fourth  quadrants,  which  is  denoted  by  an  n  annexed  (as 
an  index)  to  the  logarithm.  In  like  manner  log  cos  of  an  angle  exceeding 


INTRODUCTION. 


XXIII 


90°  is  found  by  first  taking  from  it  one,  two,  or  three  right  angles,  and 
then  determining  respectively  the  sine,  the  cosine  or  the  sine  of  the  re- 
mainder, and  observing  that  the  cos  is  negative  in  the  second  and  third 
quadrants,  which  again  is  indicated  by  annexing  an  n  to  the  logarithm. 
For  tangents  and  cotangents  which  are  negative  in  the  second  and  fourth 
quadrants  the  same  interchange  has  to  be  made,  when  1  and  when  3  right 
angles  have  been  subtracted.  These  relations  are  shown  in  the  following 
tabular  form,  in  which  z  represents  an  angle  in  the  first  quadrant,  so  that 
90°  +  z,  180°  +  z  and  270°  +  z  lie  in  the  second,  third,  and  fourth  quad- 
rants respectively. 


arc 

sine 

cosine 

tangent 

cotangent 

z 

-{-  sin  z 

+  cos  z 

+  tan  z 

4-  cot  z 

90°   +  z 

-+-  cos  z 

—  sin  z 

—  cot  z 

—  tan  z 

180°   +  z 

—  sin  z 

—  cos  z 

-j-  tan  z 

+  cot  z 

270°  +  z 

—  cos  z 

-j-  sin  z 

—  cot  z 

—  tan  z 

From  the  table  it  appears  conversely,  that  corresponding  to  a  given 
value  of  every  trigonometrical  function,  when  its  algebraic  sign  is  un- 
known, four  different  arcs  in  the  first  four  quadrants  may  be  found ;  and 
two  when  the  sign  is  given.  If  for  example  a  log  cos  with  n  annexed  is 
given,  so  that  the  cosine  is  negative,  this  taken  positively  may  be  looked 
out  in  the  column  of  the  cosines,  when  180°  have  to  be  added  to  the  cor- 
responding acute  angle ;  or  it  may  be  found  as  the  sine  of  an  acute  angle 
which  increased  by  90°  has  the  given  cosine.  For  an  arc  to  be  completely 
determined  by  a  trigonometrical  function  we  require,  besides  the  sign  of 
this  function,  also  that  of  any  other  trigonometrical  function  of  the  same 
arc,  provided  the  two  are  not  tan  and  cot,  or  we  must  know  from  other 
sources  in  what  quadrant  the  arc  lies.  Trigonometrical  calculations  are 
usually  so  arranged,  that  for  the  determination  of  an  arc  the  logarithms 
of  two  numbers,  respectively  proportional  to  the  sine  and  cosine,  with 
their  proper  signs  are  finally  obtained,  so  that  no  doubt  remains  as  to  the 
quadrant.  For  if  the  logarithms  of  a  sin  A  and  a  cos  A  are  given,  their 
difference  is  log  tan  A,  and  A  lies  in  the  first  or  third  quadrant,  according 
as  sin  A  and  cos  A  are  either  both  positive  or  both  negative,  the  tangent 
being  positive ;  or  A  lies  in  the  second  quadrant,  when  sin  A  is  positive, 
and  cos  A  negative ;  finally  A  lies  in  the  fourth  quadrant  when  sin  A  is 
negative  and  cos  A  positive,  in  both  which  cases  tan  A  is  negative.  Hence 
in  the  first  case  (when  tan  A  is  positive),  the  logarithm  is  looked  out 
amongst  the  tangents,  and  the  corresponding  acute  angle  is  taken  out,  or 
that  angle  increased  by  180° ;  in  the  second  case,  when  the  tangent  is 
negative,  we  look  out  the  log  in  the  column  of  cotangents,  take  out  the 
corresponding  acute  angle  and  increase  it  by  90°  or  270°  respectively. 
The  angle  A  being  found,  the  subtraction  of  log  sin  A  from  the  first  or  of 


XXIV 


INTRODUCTION. 


log  cos  A  from  the  second  number  gives  log  a.    The  following  examples 
will  serve  to  illustrate  these  rules. 


log  a  sin  A 
log  a  cos  A 

tan  A 
A 

3.0857112 
2.7130088 

9.5028101 
9.6729909  n 

1.8839108  D 
2.0057687  n 

8.1158505  n 
7.9210259 

0.3727024 
67°  1'  34".65 

9.8298192  n 
145°  56'  56".80 

9.8781421 
217°  3'  54".67 

0.1948246  n 
302°  33'  32".76 

cos/ 

9.9641106 

9.9183138  n 

9.9019759  n 

9.9257435  n 

log  a 

3.1216006 

9.7546771 

2.1037928 

8.1901070 

In  these  examples  a  has  been  regarded  as  positive ;  if  a  is  assumed  to 
be  negative,  the  arc  A  will  change  by  180° ;  the  tan  A  which  serves  only 
as  argument  need  not  have  been  written  down  in  the  preceding  calcu- 
lation. 


TABLE 

OF  BRIGGS'  OR  COMMON 

LOGARITHMS 

OF  THE  NATURAL  NUMBERS 
FROM  1  TO  100000 


N. 

Log. 

N.    Log. 

N. 

Log. 

N. 

Log. 

N. 

Log. 

0 

I 

I 
3 

— 

50 

5« 
5* 
53 

698  9700 

100 

IOI 
102 
103 

ooo  oooo 

150 

152 

1760913 

200 

2OI 
202 
103 

301  0300 

ooo  oooo 
3010300 
477  1113 

7075702 
7160033 
7*4*759 

0043214 

008  6002 

012  8372 

178  0769 
181  8436 
184  6914 

303  1961 

3°5  35*4 
3074960 

4 

601  0600 
698  9700 
778  1513 

54 

73*  3938 
74o  3627 
748  1880 

104 

3 

017  0533 

oix  1893 

015  3059 

156 

1875207 
1903317 
193  1246 

204 

309  6302 

3"  7539 
3*3  8672 

I 

9 
10 

XI 

ii 
13 

845  0980 
9030900 
954  *4>5 

H 

59 
60 

61 
62 
63 

755  8749 
763  4280 
770  8520 

3 

109 
110 

XII 

in 
"3 

019  3838 
033  4238 
037  4265 

1SZ 
158 

160 

161 

162 
163 

195  8997 
198  6571 

201  3971 

207 
208 
209 

210 
in 

2X2 
"3 

315  9703 
3"  0633 
3101463 

ooo  oooo 

778  15*3 

041  3927 

2O4  I2OO 

322  2193 

041  3027 

079  1812 
"3  9434 

785  3*98 
79*  391? 
799  34<>5 

045  3230 

049  2180 

053  0784 

2O6  8259 
2095150 
111  1876 

3*4  *8*5 
3*6  3359 
3*8  3796 

H 

li 

146  1280 
176  0913 

1O4  1200 

64 

3 

806  1800 
812  9134 
819  5439 

"4 

"I 

lib 

0569049 

060  6978 
064  4580 

164 
165 

166 

214  8438 
217  4839 

22O  1  05  1 

114 
2ID 

330  4138 
33*  43»5 
334  453» 

3 

*9 
20 

21 

22 

130  4489 
255  2725 
278  7536 

69 

70 

7» 
7* 

73 

816  0748 

£3?  5089 
838  8491 

1X7 
118 

"9 

120 
in 

122 
I23 

068  1859 
071  8820 

075  5470 

167 
168 
169 

170 

171 
172 
173 

112  7165 
225  1093 
217  8867 

1X7 
218 
2I9 

220 

221 

222 
223 

336  4597 
338  4565 
3404441 

301  0300 

8450980 

079  1812 

230  4489 

342  4217 

321  2193 

34*  4**7 
361  7278 

851  1583 

857  3325 
863  3229 

082  7854 
086  3598 
089  9051 

232  9961 

*35  5*84 
238  0461 

344  39*3 
340  3530 
348  3049 

24 

380  2112 
3979400 

4*4  9733 

74 
76 

869  2317 
875  0013 
880  8136 

"I 
126 

093  4217 

096  9100 
ioo  3705 

176 

240  5401 
243  0380 
245  5127 

224 

"i 

350  2480 
35*  1825 
354  1084 

28 
29 

30 

3* 
3* 
33 

431  3638 
447  1580 
462  3980 

3 

79 

80 

81 
82 

886  4907 
892  0946 
897  6271 

127 
128 
119 

130 

131 

132 

103  8037 

107  2100 

i  to  5897 

177 
178 
179 

180 

181 
181 
183 

*47  9733 
2504200 

3 

229 

230 

131 

232 

*33 

356  0250 
357  934» 
359  8355 

477  1213 

903  0900 

II39434 

255  2725 

361  7278 

491  3617 
505  1500 
5"  5139 

908  4850 
913  8139 
9190781 

117  2713 
120  5739 
123  8516 

257  6786 
260  0714 
262  4511 

363  6120 
365  4880 
367  3559 

34 

H 

53'  4789 
5440680 
556  3025 

i 

9*4  *793 
9*9  4«9 
934  4985 

'34 
136 

127  1048 
I30  3338 
*33  5389 

184 
185 
1  86 

264  8178 
267  1717 
269  5129 

*34 
135 
236 

369  2159 
371  0679 
372  9120 

332 

39 

40 

4* 

4* 
43 

568  2017 

579  7836 
591  0646 

87 

88 

89 

90 

91 
92 

93 

939  5*93 
944  48*7 
949  3900 

137 
138 

»39 

140 

141 
142 
143 

136  72O6 
I39  8791 
143  0148 

I8Z 
188 

189 

190 

191 

191 
193 

271  8416 
27^  1578 
176  4618 

237 
238 
139 

240 

141 

24* 

H3 

374  7483 
376  5770 
378  3979 

6020600 

954  2425 

146  I28O 

278  7536 

380  21X1 

612  7839 

6*3  *493 
633  4685 

959  0414 
9»3  7878 
968  4829 

149  2IQI 
152  2883 
155  3360 

281  0334 
283  3012 
185  5573 

382  OI7O 
383  8l|4 
3856063 

44 
45 
46 

643  4527 
653  2125 
662  7578 

94 
95 
96 

973  1270 

977  7*36 
982  2712 

144 

145 
140 

IS8  3625 

161  3680 
164  3529 

»94 
196 

287  8017 
290  0346 
292  1561 

*44 
146 

387  3808 

389  1661 
39°  935* 

47 

49 
50 

672  0979 
68  i  2412 
690  1961 

9Z 
98 

99 
100 

986  7717 
991  2261 
995  635* 

I4Z 
148 

149 
150 

167  3173 
170  2617 
173  1863 

197 
198 
199 

200 

294  4662 
296  6652 
298  8531 

247 
248 
249 

250 

392  6970 

394  45*7 
396  1993 

698  9700 

ooo  oooo 

176  0913 

301  0300 

397  9400 

N. 

Log. 

N. 

Log. 

N. 

Log. 

N. 

Log. 

N. 

Log. 

o*  «»  o°  o'  o*  S.  4.685  5749  T.  5749 
50  =  o  o  50       5749    S749 
ioo  =  o  i  40       5748    5749 
150  =  o  »  30        5748    5749 

100  ss  0  3  20          5748     5750 

N. 

Log. 

N.  |  Log. 

N. 

Log. 

N. 

Log. 

N.  |  Log. 

250 

*5* 

25* 

*53 

397  94°o 

300 
301 

302 
303 

477  1213 

350 

35* 

35* 
353 

544  0680 

400 

401 
402 
403 

60*0600 

450 

45* 
45* 
453 

653  1125 

399  6737 
4014005 
403  1105 

478  5665 
480  0069 
481  4426 

545  3°7> 
546  5427 

547  7747 

603  1444 
604  2261 
605  3050 

654  1765 
655  1384 
656  0982 

*54 

25i 

156 

4048337 
406  5402 
408  2400 

304 

3°J. 
306 

482  8736 
484  2998 
485  7214 

354 

35I 
356 

549  «>33 
550  1*84 
551  4500 

404 
405 
406 

606  3814 
607  4550 
608  5260 

454 

4S1 
456 

657  0559 
658  0114 
658  9648 

157 
»58 
159 

260 

261 
261 
»63 

4099331 
411  6197 
413  2998 

307 

308 
309 

310 

311 
3** 
313 

487  1384 
488  5507 
489  9585 

3SZ 

358 

359 

360 

361 
36* 
363 

55*  668* 
553  8830 
555°944 

409 
410 

4" 

412 

4*3 

6095944 
610  6602 
611  7*33 

45Z 
458 

459 

460 

461 
46* 
463 

659  9162 
660  8655 

66  i  8127 

4H  9733 

491  3617 

556  30*5 

61*  7839 

66*  7578 

416  6405 
418  3013 
4»9  9557 

4927604 
494  1546 
495  5443 

557  507* 
558  7086 
5599066 

613  8418 
614  8972 
615  9501 

6637009 
664  6420 
665  5810 

£ 

266 

421  6039 
423  0459 
424  8816 

314 

3II 
316 

496  9296 
498  3106 
499  6871 

364 

3& 
366 

561  1014 
562  2929 
563  4811 

414 

4*5 
416 

617  0003 
618  0481 
619  0933 

464 

465 
466 

666  5180 

667  4$3° 
668  3859 

i6Z 
268 
269 

270 

271 
27* 
273 

426  5113 
428  1348 
419  7523 

317 
318 
319 

320 

3*1 

322 
3*3 

501  0593 
502  4271 
5037907 

3& 

368 

369 

370 

371 

37* 
373 

564  6661 
565  8478 
567  0*64 

4IZ 
418 

4*9 
420 

4*1 
41* 
4*3 

620  ijfei 
621  1763 
6*2  2140 

4£z 

468 
469 

470 

47' 
47* 

473 

669  3169 
670  2450 
671  1728 

431  3638 

505  1500 

568  2017 

6*3  *493 

67*0979 

432  9603 

434  5689 
436  1626 

506  5050 
507  8559 
509*025 

569  3739 
570  5429 
571  7088 

624  2821 
6*5  3125 
626  3404 

673  0209 
673  9420 
674  86  u 

»74 

*7i 
i76 

437  7506 
439  33*7 
4409091 

3*4 
3*5 

326 

510  5450 
511  8834. 
513  "70 

374 
375 
376 

571  8716 

574  °3*3 
575  1878 

4*4 
4*5 
4*6 

£  *Z  36,$9 

6*8  3880 
6*9  4096 

474 

47I 
476 

676  6930 
677  6070 

277 
278 
279 

280 

281 
282 
283 

4414798 
4440448 
4456042 

3*7 
3*8 
3*9 

330 
33» 

33* 
333 

514  5478 
515  8738 
517  1959 

377 
378 
379 

380 

3f' 

38* 
3«3 

576  34*4 
577  49" 
578  6392 

4*7 
426 
4*9 

430 

43* 
43* 
433 

630  4*70 
631  4438 
63*  4573 

477 
47$ 
479 

480 

481 
48* 
483 

678  5x84 

679  4*79 
680  3355 

447  1580 

518  5139 

579  7836 

633  4685 

681  2411 

4487063 
450  2491 
451  7864 

519  8280 
5*1  1381 
5**  4441 

580  9250 
582  0634 
583  1988 

634  4773 

635  4f37 
636  4879 

682  1451 
683  0470 
683  9471 

284 

3 

453  3i83 
454  8449 
456  3660 

334 
335 
336 

5*3  746s 
5*50448 

5*6  3393 

384 

3!l 
386 

584  3|ia 
5854607 
586  5873 

434 

43H 
436 

637  4897 
638  4893 
639  4865 

484 

4& 
486 

684  8454 
685  7417 
686  6363 

287 
288 
289 

290 

191 
291 
293 

457  8*19 
459  39*5 
460  8978 

33Z 
33$ 
339 

340 

34* 
34* 
343 

5*7  6*99 
5*8  9167 
530  1997 

3fZ 
3|8 

389 

390 
391 

39* 
393 

s!z  z"° 

588  8317 
589  9496 

437 
438 
439 

440 

44* 
44* 
443 

6404814 
641  4741 
64*  4645 

487 
488 
489 

490 

49* 
49* 

493 

6875*90 

£.OO  -,«Q 

DOS  4IQ*' 
6893089 

462  3980 

531  4789 

591  0646 

643  45*7 

690  1961 

463  8030 
465  3829 
466  8676 

53*  7544 
534  0*61 

535  *94* 

592  1768 
593  2861 
594  39*6 

6444386 

645  4**3 
646  4037 

691  O8l5 
691  0651 

69*  8469 

294 
296 

468  1473 
469  8220 
471  2917 

344 
346 

536  5584 
537  8191 
539  0761 

394 
395 
396 

595  496* 
59*  597* 
597  695* 

444 
445 
446 

647  3830 
6483600 

649  3349 

494 
496 

693  7*69 
694  6052 
695  4817 

297 
298 
299 

300 

47*  7564 
474  *i63 
475  671* 

347 
34$ 

349 

350 

540  3*95 

54*  579* 
54*  8254 

397 
39» 
399 

400 

598  7005 

599  8831 
6009729 

447 
44$ 
449 

450 

650  3075 
651  2780 
65*  2463 

497 
498 
499 

500 

6963564 

697  **93 
698  1005 

477  «**3 

544-0680 

60*0600 

653  *i*5 

698  9700 

N. 

Log. 

N. 

Log. 

N. 

Log. 

N. 

Log. 

N. 

Log. 

150*=  oV  io*  S.  4.685  5748  T.  5751 
300  =  o  5  o       5747   575* 

350  =  °  5  50       5747   5753 
400  =  o  6  40       5746   5754 
450  =  o  7  30        5745    5756 

N.  |  Log. 

N.  |  Log. 

N. 

Log. 

N, 

Log. 

N. 

Log. 

500 

5o» 

501 
503 

6989700 

550 

55* 
55* 
553 

740  3617 

600 

601 
601 
603 

778  15*3 

650 

isl 

65* 

653 

812  9134 

700 

701 

702 
703 

845  0980 

6998377 

7007037 
701  5680 

74*  *5*6 
74*  939* 
74*  7*5* 

778  8745 
779  59^5 
780  3173 

813  5810 
814  1476 
814  9132 

845  7180 
846  3371 
8469553 

5<H 

3 

7014305 

703  19*4 
704  1505 

554 

55i 

558 

743  5098 
744  *93° 
745  0748 

§ 

781  0369 

78*  7554 
781  4716 

654 

III 

8*5  5777 
8x6  2413 
8x6  9038 

704 
705 
706 

847  57*7 
848  1891 
848  8047 

5°Z 
508 

509 
510 

5" 
5" 
5*3 

705  0080 
70|  8637 
700  7178 

557 
55* 
559 

560 

5Sf 
561 

563 

745  855* 
746  6341 
7474118 

609 

610 

6ix 
611 
6*3 

783  1887 

783  9036 
784  6173 

III 

659 
660 

661 
661 
663 

8*7  5654 
818  1159 
8x8  8854 

707 

708 
709 

710 

7** 
7x2 

7*3 

849  4*94 
850  0313 
850  6461 

7075701 

748  1880 

785  3*98 

819  5439 

851  2583 

7084009 
709  1700 
7101174 

748  9^*9 
749  7363 
750  5084 

786  0411 
786  7514 
787  4605 

820  1015 
820  8580 
821  5135 

851  8696 
8524800 
853  0895 

5*4 

5I1 
5« 

710  9631 
711  8071 
7**  6497 

564 
& 

75*  *79* 
75*  0484 
751  8164 

6x4 

6*5 
616 

788  1684 
788  8751 
789  5807 

664 
665 
666 

822  1681 
822  8116 
823  474* 

7*4 

7I| 
716 

853  6981 
8543060 
854  9»JO 

51Z 
51$ 

5*9 

520 

5»x 
5" 
5*3 

7*3  4905 
7*4  3*98 
7*5  *674 

fS 

569 

570 

57* 
57* 
573 

753  583* 
754  3483 
755  ***3 

6X7 

6x8 
619 

620 

611 
61* 
613 

790  1851 
790  9885 
791  6906 

667 
668 
669 

670 

67x 
671 
673 

824  1258 
824  7765 
825  4161 

717 
7*8 
7*9 

720 

721 
722 

7*3 

855  5*9* 
856  1244 
856  7289 

716  0033 

755  8749 

79*  39*7 

826  0748 

857  33*5 

716  8377 
7*7  6705 
718  5017 

756  6361 
757  396o 
758  *546 

793  0916 
7937904 
794  4880 

826  7225 

8*7  3693 
828  0151 

857  9353 
858  5372 
859  1383 

5*4 
5*5 
516 

7*93313 
7*0  1593 
7io  9857 

574 
575 
576 

758  9**9 
759  6678 
760  4115 

624 
615 
616 

795  *846 
795  8800 

796  5743 

674 
675 
676 

828  6599 
829  3038 
8*9  9467 

7*4 

72< 

726 

859  7386 
860  3380 
860  9366 

5*7 
5** 
5*9 

530 

53* 

531 
533 

711  8106 
7**  6339 
7*3  4557 

577 
57« 
579 

580 
58* 

5!a 
583 

761  1758 
761  9178 
761  6786 

6*7 

628 
619 

630 

?J* 
631 

633 

797  *6?5 
797  9596 
798  6506 

677 
678 
679 

680 

681 
681 
683 

830  5887 
831  2197 
831  8698 

727 
728 
7*9 

730 

73* 
73* 
733 

861  5344 
861  13x4 
861  7275 

7*4  *759 

763  4280 

799  3405 

831  5089 

863  3119 

7150945 
715  9116 

716  7171 

764  1761 
7649150 
765  6686 

8000194 

8007171 
80  1  4037 

833  1471 

833  7844 
834  4107 

863  9x74 
864  5111 

865  1040 

534 

53I 
536 

717  54*3 
7**  353» 
719  1648 

584 

*& 
586 

766  4118 
767  1559 
767  8976 

634 

Hi 

801  0893 
801  7737 
803  457* 

684 
685 
686 

835  0561 
835  6906 
836  3141 

734 

73i 

730 

865  6061 
866  2873 
866  8778 

537 
53« 
539 

540 

54* 

54* 
543 

7*9  9743 
730  7813 
731  5888 

5fZ 
588 

589 
590 

'  59* 

59* 
593 

768  6381 
769  3773 
770  1153 

<ji 

639 
640 

641 
641 
643 

804  1394 
804  8107 
805  5009 

687 
688 
689 

690 
691 
691 
693 

836  9567 
837  5884 
838  1191 

737 
738 
739 

740 

74* 
74* 
743 

867  4675 
868  0564 
868  6444 

869  2317 

73*  3938 

770  8510 

806  1800 

838  8491 

733  *973 
733  9993 
734  7998 

77  »  5875 
77*  3**7 
773  0547 

8068580 
807535<> 

808  2X10 

839  478o 
840  1061 
8407331 

869  8181 
870  4039 
870  9888 

544 
545 
546 

735  5989 
736  3965 

737  *9*6 

594 
595 
596 

773  7864 
774  5*70 
775  *463 

644 
645 
646 

808  8859 

809  5597 
810  1315 

694 

£95 
696 

841  3595 
841  9848 
841  6091 

744 

74i 

746 

871  5719 
872  1563 
872  738* 

547 
548 

549 

550 

737  9873 
7387806 

739  57*3 

597 
598 
599 

600 

775  9743 
776  70x1 

777  4*68 

647 
648 

649 
650 

8x09043 
8xi  5750 
811  1447 

697 
698 
699 

700 

843  2318 

843  8554 
8444772 

747 
748 
749 

750 

873  3206 
873  9016 
874  4818 

740  36*7 

778  1513 

811  9134 

845  0980 

875  0613 

N. 

Log. 

N. 

Log. 

N. 

Log. 

N. 

Log. 

N.  |  Log. 

500"=  o°  9'  to"  8.4.6855744  T.5757 
SSO  =  o  9  10        5744   5759 
600  =  0100        5743   5761 
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6978 

8884 

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233 

23.3 

232 

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271  1443 
3769 

1676 
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2141 
4466 

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4699 

2606 
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2859 
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3304 
5628 

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3 

46.6 
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464 
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69 

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6558 

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c 

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91.8 

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9345 

9577 

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0041 

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6 

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139.2 

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272  0738 
3058 
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9 

163.1 
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209.7 

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185.6 

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7696 
273  0015 
2328 

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8150 
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2791 

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46.2 

46.0 

1880 

274  1578 

1809 

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2964 

3*95 

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69.3 

69.0 

81 

82 

3888 
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1500 

1731 

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184.8 

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276  OO2O 

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1736 

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2194 

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2881 

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8383 

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6780 
9070 

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95*8 

7467 
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5634 
79*5 
6215 

5863 
8154 
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I 

114.5 

'IZ4 
160.3 

183.2 

114.0 
136.8 
159.6 
1824 

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278  0673 

0902 

**3* 

1360 

1589 

1818 

2047 

2276 

2504 

2733 

9 

106.1 

205.1 

2962 

3*9* 

34*o 

3648 

3877 

4106 

4335 

4564 

479* 

5021 

99 

5250 

5478 

5707 

5936 

6164 

6393 

6612 

6850 

7079 

7307 

1900 

7536 

7765 

7993 

8221 

8450 

8679 

8907 

9*36 

9364 

9593 

N. 

0 

1 

2 

3 

4 

5 

6 

7 

8 

9 

P.  P. 

18500"=  5°  8'  20*    1850'=  0*30'  50"  8.4.6855690  T.586< 

18600  =  5  10  o    1860  =  o  31  o       5690   5866 

18700  =  5  ii  40    1870  =  o  31  10       5689   5868 

18800  =  5  13  10    1880  =  o  31  10       5680   5869 

18900  =  5  15  o    1890  =  o  31  30       5688   5870 

24 


N. 

0 

1 

2 

3  |  4 

5 

6 

7 

8  |  9 

P.  P. 

1900 

278  7536 

7765 

7993 

8222 

8450 

8679 

8907 

9136 

9364 

9593 

ox 

9821 

5050 

6278 

0506 

5735 

6963 

1192 

1420 

1648 

1877 

02 

03 

279  2105 

4388 

4616 

2562 
4844 

2790 
5072 

3018 
53" 

3*47 
55*9 

3475 
5757 

3703 
5985 

393  * 
6213 

AIM 

6441 

229 

228 

04 

05 
oo 

6669 
8950 

280  1229 

6898 
9178 
1457 

7126 
9406 
1685 

7354 
9634 
1912 

75f» 
9862 
2140 

7810 
0090 
2368 

8038 
8317 
2596 

8266 

5545 
2824 

8494 
0773 
3051 

8722 
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3*79 

i 

2 

3 

4 

22.0 

45.8 
68.7 

91.6 

22.8 
4S.6 
68.4 
91.2 

07 

3507 

3735 

1962 

4190 

4418 

^45 

4873 

5101 

53*8 

5556 

5 

114.5 

II4.O 

08 
09 

5784 
8059 

OOII 

8287 

6239 
8514 

6467 
874* 

6694 
8969 

6922 
9197 

7H9 
94*4 

7377 
9651 

7604 
9879 

7832 
0106 

6 

7 

iio.i 

o   J 

136.8 
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1910 

281  0334 

0561 

0788 

1016 

i*43 

1470 

1698 

1925 

2152 

2380 

8 
9 

183.2 
206.  1 

182.4 

ii 

2607 

a834 

3061 

3*89 

3516 

3743 

3970 

4197 

44*5 

4652 

12 

4879 

5106 

5333 

5787 

6014 

6242 

6469 

6696 

6923 

13 

7150 

7377 

7604 

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8058 

8285 

8512 

8739 

8966 

9192 

14 

9410 

9646 

9873 

0100 

5327 

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0781 

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"34 

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15 

282  1688 

1915 

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2368 

2595 

2822 

3048 

3*75 

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227 

226 

16 

3955 

4182 

4408 

4635 

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22.7 

22.6 

17 

6221 

6448 

6674 

6901 

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73  S4 

7580 

7807 

8033 

8260 

2 

454 

45.2 

18 

8486 
283  0750 

8712 
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1  202 

9165 
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1655 

9618 
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9844 

2107 

0071 
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2560 

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3 

4 

68.1 
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67.8 
90.4 

1920 

3012 

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3465 

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4*43 

4369 

4595 

4821 

5048 

6 

113.5 
136.2 

135-6 

21 

22 

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7534 

5500 
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57*6 
7986 

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6178 
8438 

6404 
8663 

6630 

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7082 
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7308 
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158.9 
181.6 

158.2 
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23 

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0922 

1148 

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9 

204.3 

203.4 

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284  205  1 

2276 

2502 

2728 

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3179 

3405 

3630 

3856 

4082 

25 

43°7 

4533 

4759 

4984 

5210 

5435 

5661 

5886 

6112 

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26 

6563 

6788 

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7465 

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7916 

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8817 
285  1070 

9043 
1296 

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9493 
1746 

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9944 
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224 

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22.5 
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1930 

5573 

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6023 

6248 

6473 

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3 

67-5 

67.2 

31 

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2768 

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3217 

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1644 

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2094 
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89.6 

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34 

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5014 

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5687 

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6136 

6361 

658.5 

8 

180.0 

179.2 

35 

6810 

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7*59 

74»3 

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8156 

8381 

8605 

8829 

9 

202.5 

201.6 

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9278 

9502 

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995  * 

0175 

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0024 

0848 

1072 

37 

287  1296 

1520 

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1969 

"93 

2417 

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2865 

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38 

3538 

37<>* 

39»6 

4110 

4434 

4658 

4882 

5106 

5330 

5554 

39 

577« 

6002 

6226 

6450 

6674 

6898 

7122 

7346 

7570 

7793 

1940 

8017 

8241 

8465 

8689 

8913 

9136 

9360 

9584 

9808 

0032 

223 

4i 
4* 

288  0255 
2492 

0479 
2716 

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0927 

1150 
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1374 
3610 

1598 
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1821 
4057 

2045 
4281 

2269 
4504 

2   44.6 

3   66.9 

43 

47*8 

495* 

5175 

5399 

5622 

5845 

6069 

6292 

6516 

6739 

4   89.2 

44 

6963 

7186 

7409 

7633 

7856 

8079 

8303 

8526 

8749 

8973 

5  11I-5 

45 
46 

289  1428 

1652 

9643 
1875 

9866 
2098 

6089 
2321 

5312 
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6556 

2767 

0759 
2990 

0982 
3213 

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3436 

6  133.8 
8  178.4 

47 

3660 

3883 

4106 

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45S* 

4775 

4998 

5221 

5444 

5667 

9  200.7 

48 

5890 

6112 

6335 

6558 

6781 

7004 

7227 

7450 

7<>73 

7896 

49 

8118 

8341 

8564 

8787 

9010 

9*3* 

9455 

9678 

9901 

5123 

1950 

290  0346 

0569 

0792 

1014 

1237 

1460 

1682 

1905 

2127 

2350 

N. 

0 

1 

2 

3 

4 

5 

6 

7 

8 

9 

P.  P. 

19000"=  58i6'4o"    1900"=  o°  31'  40"  8.4.6855687  T.  587; 

19100  =  5  i  8  20     1910  SB  o  31  50       5687   5873 

19200  =  5  20  o     1920  =  o  32  o       5686   5874 

19300  =  5  21  40     1930  =  o  31  10       5685   5875 

19400  =  5  23  20      1940  as  0  32  2O          5685     5877 

25 


N. 

0 

1 

2 

3 

4 

5 

6 

7 

8 

9 

P.  P. 

1950 

2900346 

0569 

0792 

1014 

«37 

1460 

1682 

i9°5 

2x27 

2350 

51 

*573 

*795 

3018 

3140 

3463 

3686 

3908 

4131 

4353 

4576 

5* 
53 

479* 

7022 

5021 
7*45 

5*43 
7467 

5466 
7690 

5688 
7912 

5910 
8x34 

835! 

$355 
8579 

$£, 

6800 
9023 

223 

54 

9246 

9468 

9690 

9912 

0135 

5357 

0-579 

58oi 

1023 

T*45 

i 

"i 

55 

201  1468 

1690 

1912 

"34 

2356 

2578 

2800 

3022 

3*44 

3466 

44.0 

5* 

3689 

39" 

4'33 

4355 

4577 

4799 

5020 

5*4* 

5464 

5686 

3 
4 

89.1 

57 

59°8 

6130 

6352 

6S74 

6796 

7018 

7240 

7461 

7683 

7905 

5* 
59 

8X27 
2910344 

8349 
0566 

8570 
0788 

8792 
1009 

9014 
1231 

9236 
"453 

9458 
1674 

9679 

9901 
2x18 

6123 
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7 

J33-8 

1960 

2561 

2782 

3004 

3225 

3447 

3668 

3890 

4111 

4333 

4554 

8 

a 

178.4 
200.7 

61 

4776 

4997 

5219 

5440 

5662 

5883 

6105 

6326 

6147 

6769 

62 

6990 

7211 

74*33 

7<>54 

7875 

8097 

8318 

8539 

8760 

8982 

63 

9203 

94*4 

9645 

9867 

6088 

0309 

0530 

0751 

6973 

"94 

64 

293  1415 

1636 

1857 

2078 

2299 

2520 

2741 

2962 

3^3 

3405 

65 
66 

3626 
5835 

3847 
6056 

6277 

4280 
6498 

45x0 
6719 

4730 
6940 

495' 
7160 

5172 
738X 

5393 
7602 

5614 

7823 

i 

222 

22.2 

221 

22.1 

67 

8044 

8264 

848? 

8706 

89*7 

9'47 

9368 

9^ 

9810 

5030 

2 

44-4 

44.2 

ft 

69 

2940151 

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0472 
2678 

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2898 

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3339 

3560 

1575 
3780 

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4OOI 

2016 
4221 

**37 
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3 
4 

66.6 
88.8 

66.3 
88.4 

1970 

4662 

4883 

5x03 

53*4 

5544 

5764 

5985 

6205 

6426 

6646 

6 

133.2 

132.6 

7* 

6866 

7087 

73°7 

75*7 

7748 

7968 

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8408 

8619 

8849 

2 

155-4 

154-7 

7* 
73 

9069 
295  1271 

9*89 
1491 

9510 
1711 

9730 
193  x 

9950 
2x51 

0170 
2371 

0390 
2591 

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2811 

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3031 

1051 
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8 
9 

177.6 
199.8 

176.8 

198.9 

74 

3471 
5671 

3691 
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39" 
6xii 

4131 
6331 

4351 

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6770 

4791 

5011 
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7869 

80*9 

8309 

85*9 

8748 

8968 

9188 

9408 

9627 

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3 

79 

2960067 
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2702 
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3361 
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1385 

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1604 
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1824 
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X 

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220 

22.0 
440 

219 
21.9 
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1980 

6652 

6871 

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73  » 

75*9 

7748 

7968 

8187 

8406 

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3 

66.0 

It 

82 
83 

8845 

297  1037 
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9941 
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6160 
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2570 
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3008 
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4 

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132.0 
154.0 

109.5 
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84 

5417 

5636 

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6073 

6292 

6511 

6730 

6949 

7168 

7386 

6 

176.0 

175.2 

85 

7605 

7824 

8043 

8261 

8480 

8609 

8918 

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9 

198.0 

197.1 

86 

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6230 

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1104 

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1542 

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198  1979 

2107 

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2634 

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3071 

3290 

3508 

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4*64 

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4601 

4819 

5038 

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5474 

5693 

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6129 

89 

6348 

6566 

6785 

7003 

7221 

7439 

7658 

7876 

8094 

83x3 

1990 

8531 

8749 

8967 

9185 

9404 

9622 

9840 

0058 

5276 

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218 

21  8 

217 

91 

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0931 

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1367 

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2239 

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6380 

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86.8 

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3 

7*5* 
94*9 
3001605 

7469 
9647 
1823 

7687 
9864 
2041 

7905 
0082 
2258 

8123 
8300 
2476 

8340 
6517 
2693 

8558 

5735 
29XX 

8776 

8994 

1x70 

3346 

9211 
1388 
3563 

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8 

109.0 
130.8 
152.6 
1744 

108.5 
130.2 
151.9 
173.6 

97 

3781 

3998 

4216 

4433 

4650 

4868 

5085 

5303 

5520 

5737 

9 

196.2 

195-3 

98 
99 

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6171 
8345 

6300 
8562 

6607 
8780 

6814 
8997 

7042 
9214 

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9648 

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6083 

2000 

3010300 

05x7 

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1168 

1386 

1603 

1820 

2037 

2254 

N. 

0 

1 

2 

3 

4 

5 

6 

7 

8 

9 

P.  P. 

19500*=  5*25'  o*   1950'=  0*32'  30*  8.4.6855684  T.  5878 

19600  =  5  2O  40     1900  a*  O  32  40          5683    5879 

19700  «r  5  28  20      1970  SB  0  32  50          5683     5881 

19800  =  5300    1980  =  o  33  o       5682   5882 

19900  =  5  31  40    1990  =  o  33  10       5681   5883 

26 


N. 

0 

1 

2 

3 

4 

5 

6 

7 

8 

9 

P.  P. 

2000 

301  0300 

0517 

0734 

0951 

1  1  68 

1386 

1603 

1820 

*037 

2254 

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2471 

2688 

2905 

3122 

3339 

3556 

3773 

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4207 

44*4 

02 

4641 

4858 

5075 

5291 

SS08 

S7*S 

594* 

6159 

6376 

03 

6809 

7026 

7*43 

7460 

7677 

7*93 

8110 

8327 

8544 

8700 

218 

217 

04 

3 

8977 
302  1144 
3309 

9194 
1360 
3526 

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9627 
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3959 

9844 

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4^75 

6061 
2227 
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2876 
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59*7 
3093 

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2 

3 
4 

21.8 

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87.2 

21.7 

434 
65.1 
86.8 

3 

09 

5474 
7637 
9799 

5690 

7853 

6016 

5906 
8070 
5232 

61*3 
8286 
0448 

6339 
8(C2 
0664 

8718 
0880 

6772 

8935 
1096 

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24400  =  6  46  40     2440  =  o  40  40       5647   5951 

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61700  =17  8  20    6170  =   42  50       5101    7044 
61800  =  17  to  o    6180  =   43  o        5099   7048 
61900  =  17  ii  40    6190  =   43  10        5097    7053 

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62000*=  17*  13'  ao*   6200*=  °43'2o"  8.4.6855095  T.  7057 
62100  =  17  15  o    6210  =   43  30       5093   7061 
62200  =3  17  16  40    6220  =   43  40       5090   7065 
61300  =  17  18  20    6230  =   43  50       5088   7070 
62400  =  17  jo  o    6240  =   44  o       5086   7074 

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6x500*=  I7°2i'4o"    6150"=  i°44'  10"  8.4.6855084  T.  7078 

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62700  =  17  15  o    6170  =  i  44  30        5080    7087 

62800  —  17  26  40    6180  =  I  44  40        5078    7091 

61900  —  17  18  10    6190  =  i  44  50        5076    7095 

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63200  =  17  33  20    6320  =   45  20       5069   7108 
63300  =  17  35  o    6330  =   45  30        5067    7112 
63400  =  17  36  40    6340  =   45  40        5065    7117 

13 


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65000"=  18°  3'  10"   6500"=  "48'  zo"  S.  4.685  5030  T.  7187 
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65300  =  1  8  8  20    6530  =   48  50       5013   7100 
65400  —  18  10  o    6540  =   49  o       5011   7104 

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P.  P. 

65500"=  x8°xx'4o"    6550"=  1*49'  xo*  8.4.6855019  T.  7209 
65600  =  18  13  20    6560  =  i  49  20       50x7   7213 
65700  =1815  o    6570  =  i  49  30       5014   72x8 
65800  =  18  16  40    6580  =  i  49  40       5012   7222 
6.5900  =  18  x8  10    6590  =  i  49  50       5010   7227 

118 


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P.  P. 

66000"=-  i8°io'  o"   6600"  »•  "50'  o"  8.4.6855008  T.  7231 

66lOO  «"  1  8  11  40     66lO  *•   50  IO          5005    7136 

66100  =  18  13  20    6610  =   50  20       5003   7140 

66300  =  18  25  o    6630  sa   50  30       jooi   7345 

66400  «•  18  16  40    6640  =   50  40       4999   7249 



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P.  P. 

66500"  **  i8*28'ao"    6650*=  '50'  50'  8.4.6854996  T.  7154 
66600  =  18  30  o    6660  =510       4994   7258 

66700  =  18  31  40    6670  =   51  10       4901   7263 

66800  =  18  33  to    6680  =   51  20       4989   7267 

66900  =  18  35  o    6690  =   51  30       4987   7172 

120 


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P.  P. 

67000"=  18*36'  40"   6700*=  "si^o"  8.4.6854985  1.7276 
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67200  =  18  40  o    6720  =   52  o       4980   7286 
67300  —  18  41  40    6730  =   51  10       4978   7290 
67400  =  18  43  20    6740  =   52  20       4976   7295 

121 


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P.  P. 

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67800  =  18  50  o    6780  =   53  o       4967   7313 
67900  =  18  51  40    6790  =   53  10       4964   7318 

122 


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i  i  10       4849   7548 

71800  =  10  13  10    7280  =  2  i  10       4847   7553 

71900  =  so  15  o    7290  =  i  i  30       4844   7557 

132 


N. 

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P.  P. 

73000*=  20-16'  40"   7300"=  2*  x'4o"  8.4.6854842  T.  7562 

73100  =  20  l8  20      7310  =  2   I  50          4840    7567 

73200  =  20  20  o    7320  =  220       4837   757* 

73300  =  20  21  40      7330  =  2   2  10           4835     7577 

73400  =  20  23  20    7340  =  2  2  ao       4832   758* 

133 


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73600  =  10  16  40    7360  =  a  i  40       4817   7592 

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73800  =  10  30  o    7380  *s  a  3  o       4811   7601 

73900  =  20  31  40    7390  a*  a  3  10       4820   7607 

134 


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P.  P. 

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74100  =  20  36  40    7420  «  i  3  40       4811   7613 

7430O  =!  2O  38  2O       743O  =B  2   3  5O              4809      76lB 

74400  *=  20  40  o    7440  =  140       4807   7633 

135 


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P.  P. 

74500*=  2o°4i'40*   745o"= 

74600  as  20  43  2O      7460  = 

2°  4'io"  8.4.6854804  1.7638 

2  4  20          4802     7641 

74700  =  20  45  o    7470  =  i  4  30       4799   7H» 

74800  =  10  46  40    7480  =  i  4  40       4797   7651 

74900  =  20  48  2C    7490  =  2  4  50       4794   7658 

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P.  P. 

75000"=;  20*50'  o*   71500"=  2*  5'  o"  8.4.6854792  T.  7663 

75IOO  ==  20  51  40      7510  =  1   5  10           4789     7668 
75200  =  20  53  20      7520  =  2   5  20          4787     7673 

75300  =  20  55  o    7530  »  2  5  30       4784   7679 

75400  =  20  56  40     7540  B  2  5  40         4781    ?6i4 

137 


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P.  P. 

75500*=  20*58'  20*     7550"=  2*  5'  50*  8.4.6854779  T.7689 
756OO  ass  21   0   0      7560  as  2   6   O           4776     7694 

75700  =  ii  i  40    7570  =  2  6  10       4774   7699 

75800  as  21   3  20      7580  =  1   6  10          4771     7704 

75900  =1150    7590  =  2  6  30       4769   7709 

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SSOOO'SE  23°  3'  30"     8300"=  I*l8'3o"  8.4.6854577  T.  8094 

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83200  =  23  6  40    8320  =  3  18  40       4571   8105 

83300  =  33  8  30    8330  =  3  18  50       4568   8111 

83400  =  13  10  o    8340  =3  a  19  o       4565   8116 

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83700  =  13  15  o    8370  c  4  19  30       4557   £133 

83800  =  43  16  40    8380  =  i  19  40       4554   8139 

83900  =  13  18  10    8390  =  i  19  50       4551   8145 

154 


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88800  =  24  40  0     8880  =  22$   0          4407     8433 

88900  =  24  41  40      8890  =  2  2S  10          4404     8439 

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P.  P. 

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89300  =  24  48  2O      8930  =  2  28  5O           4392     8463 

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5622 
6102 

5670 
6150 

6198 

5766 
6246 

5814 
6*94 

5862 
6342 

59X0 
6390 

IS 

9050 

956  6486 

6534 

6582 

6630 

6678 

6726 

6774 

6822 

6870 

6918 

N. 

0 

1 

2 

3 

4 

5 

6  |  7 

8 

9 

P.  P. 

90000*=  25°  o'  o*   9000*=  2°  30'  o*  8.4.6854371  T.  8506 

9OIOO  =  25   I  4O      9OIO  —  2  30  10            4367     8512 

90200  =  25   3  20     9O20  =  2  JO  2O          4364    8518 

90300  =  25  5  o    9030  »»  2  30  30       4361   8524 

90400  =:  25   6  40      9040  —  2  30  40           4358     8531 

167 


N. 

0 

1 

2 

3 

4 

5 

6 

7 

8 

9 

P.  P. 

9050 
5* 

5* 
53 

54 

9 

% 

59 

9060 

61 
62 
63 

64 

3 

67 

68 
69 

9070 

7» 

7* 
73 

74 

? 

3 

79 
9080 
?i 
82 
83 
84 
»5 

86 

«7 
88 

89 

9090 
91 

9* 

93 

94 
95 

96 

97 
98 

99 

9100 

956  6486 

<S34 

6582 

6630 

6678 

6726 

6774 

6822 

6870 

6918 

48 
i   4.8 

2   9.6 

3  *44 
4  *9-* 
5  *4-o 
6  28.8 

Z  32'6 
8  3I.4 

9  43.2 

47 

*   4-7 

2   9.4 

3  *4i 
4  18.8 

5  23-5 
6  28.2 

7  3*-9 
8  37.6 

9  4*-3 

6966 
7445 
79*5 

8885 
9364 

9844 
95703*3 

0803 

7014 
7493 
7973 

8453 
8933 
9412 

9892 
0371 
0851 

7062 

754i 
8021 

8501 
8980 
9460 

9940 
0410 
0896 

7110 

75j9 
8069 

8540 
9028 
9508 

9988 
0467 
0946 

7158 
7637 
8117 

8597 
9076 

955* 

0035 
0515 

0994 

7206 

7685 
8165 

8645 
9124 
9604 

0083 
0563 
1042 

7*54 
7733 
8213 

8693 
9172 
9652 

5131 
0611 
1090 

7302 

ffi 

*74* 

9220 
9700 

6179 
0650 
1138 

734.9 
7829 
8309 

9268 
9748 
6227 
0707 
1x86 

7397 
7877 

8357 

8837 
9316 
9796 

5*75 
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957  1282 

1330 

1378 

1426 

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1522 

1570 

1618 

1665 

17x3 

1761 
2241 
2720 

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3678 

4157 
4636 
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3*47 
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5163 
5642 

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2«6 

2816 

3*95 

3774 
4*53 

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5211 
5690 

1905 
2584 
2864 

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3822 
4301 

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5*59 
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2911 

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3870 

4349 
4828 

53°Z 
5786 

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2480 

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5355 
5833 

2040 
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3007 

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3966 

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49*4 
5402 
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2097 
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3055 

3534 
4013 
449* 

497i 
5450 
59*9 

2x45 
2624 
3*03 

3582 
4061 
4540 

5010 
549« 
5977 

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2672 
3x51 

3630 
4100 
4588 
5067 
5546 
6025 

9576073 

6121 

6169 

6117 

6264 

6312 

6360 

6408 

6456 

6504 

6552 
7030 
75<»9 

7988 
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94*3 
9902 
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7557 
8036 
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8562 
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9997 
0476 

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7*74 
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8131 
8610 
9088 

9567 
0045 
0524 

6743 
7222 
7701 

8170 
8658 
9136 

9615 
0093 
0571 

6791 
7270 
7748 
8227 
8706 
9184 

9663 
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683? 
73" 
7796 

8*75 
8753 
9*3* 

97*o 
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7366 
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8801 

9280 
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8840 
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7940 

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2389 

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3»*3 

43°* 
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1958 
2437 

2915 

3393 
3871 

4349 
4827 

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1528 
2006 
2484 
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4196 
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1576 
2054 
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2580 

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3536 
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449* 
4970 

5448 

1672 
2150 
2628 

3106 

3584 
4062 

4540 
5018 
5495 

1710 
1198 

2676 

3*54 
3632 
4110 

4588 
5065 
5543 

1767 
2245 
2723 

3202 
3680 
4*57 

4635 
5"3 
559* 

958  5639 

5687 

5734 

5782 

5830 

5878 

59*5 

5973 

6021 

6069 

6117 
6594 

7072 

7549 
8027 
8505 

8982 
9459 
9937 

6164 
6642 
7120 

7597 
8075 

855* 
9030 
95<»7 
9984 

6212 
6600 
7167 

7645 
8123 
8600 

9077 
9555 
0032 

6260 
6738 
7215 

7693 
8170 
8648 

9125 
9603 
0080 

6308 
6785 
7263 

774i 
8218 
8695 

9173 
9650 
0128 

6355 
6833 

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7788 
8266 
8743 
9221 
9698 
6175 

6403 
6881 
7358 
7836 
8314 
8791 

9268 
9746 
6223 

6451 
6929 

7406 

7884 
8361 

8839 
9316 

9793 
0271 

6976 
7454 

793* 

8886 

9564 
9841 
6318 

6547 
7024 
7502 

7979 
8457 
8934 

^I1 

98f9 
0366 

959  °4'4 

0462 

0509 

°557 

0605 

0653 

0700 

0748 

0796 

0843 

N. 

0 

1 

2 

3 

4 

5 

6 

7 

8 

9 

P.  P. 

90500"=  25*  8'  20"    9050"=  2*  30'  50"  8.4.6854355  T.  8537 
90600  =  25  ic  o    9060  =  a  31  o       4352   8543 
90700  =  15  ii  40    9070  =  a  31  10        4349    8549 
90800  =  25  13  10    9080  =  a  31  20       4346   8555 
90900  =  15  15  o    9090  =«  »  31  30       4343    8561 

168 


N. 

0 

1 

2 

3 

4 

5 

6 

7 

8  |  9 

P.  P. 

9100 

OI 

02 

03 
04 

°* 

06 

07 
08 
09 

9110 
ii 

12 

*3 

14 

15 

10 

:; 

19 
9120 

21 

22 
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3 
3 

29 
9130 
3» 

3* 

33 

34 
35 
3* 

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38 

39 

9140 

4» 
4* 
43 

44 

A| 
46 

47 
48 

49 

9150 

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0700 

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48 

i  4.8 
i  9.6 
3  »44 
4  I9-1 
5  »4-° 
6  28.8 

2  32>6 

8  384 
9  43-* 

47 

i   47 
i  9.4 

3  'to 

4  18.8 

5  *3-5 
6  28.2 

Z  3*f 
8  37-6 

9  4*-3 

0891 
1368 
"45 
2322 
2800 
3276 

3753 
4230 

47°7 

0930 
1416 
1893 

2570 
2847 
33*4 
3801 
4278 
4755 

0987 
1464 
1941 

2418 
2895 
3372 

3849 
4326 
4802 

1034 

I5ll 
1989 

2466 
2943 
34*o 
3896 

4373 
4850 

1082 

1559 
2036 

*5*3 
2950 

34*7 

3944 
4411 

4898 

1130 
1607 
2084 

2561 
3038 
35»5 

399* 
4469 

4945 

"77 
1655 
2132 

2609 
3086 
3563 
4039 
4516 
4993 

1225 
1702 
2179 

2656 

3»33 
3610 

4087 
4564 
5041 

1273 
1750 
2227 

2704 
3181 
3658 

4i35 
4612 
5088 

1312 
1798 

**75 
2752 
3229 
3706 

4183 
4659 
5136 

9595184 

5231 

5*79 

53*7 

5374 

54** 

547° 

55^7 

5565 

5613 

5660 

«37 
6614 

7090 
7567 
8043 
8520 
8996 
9472 

I7?8 
6185 

6661 

7J38 
7614 
8091 

8567 
9044 
9520 

5756 
6232 
6709 

7186 
7662 
8138 

8615 
9091 
9567 

5803 
6280 

6757 

7*33 
7710 
8186 

8662 

9139 
9615 

I*5, 
6328 

6804 
7281 
7757 
8*34 
8710 
9186 
9663 

5899 

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6851 

73*8 

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8281 

8758 

9*34 
9710 

5946 
64*3 
6900 

7376 
7»53 
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8805 
9282 
9758 

5994 
6471 
6947 

74*4 
7900 

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8853 
93*9 
9806 

6042 
6518 
6995 

747i 
7948 
8424 

8901 
9377 
9853 

6089 
6566 
7043 

75  19 
7996 
8472 

8948 

94*5 
9901 

9599948 

9996 

0044 

0091 

6139 

6186 

5*34 

0282 

5329 

6377 

9600425 
0901 
1377 
1853 

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2805 

3281 
3756 
4232 

0472 
0948 
1424 

1900 

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2852 

3328 
3804 
4280 

0520 
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1472 

1948 

2424 
2900 

3176 
3851 
43*7 

0567 
1044 
1520 

1996 

2472 
2947 

3423 
3»99 
4375 

0615 
1091 
1567 

2043 
2519 
2995 

347* 
3947 
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0663 

"39 
1615 

2091 
4567 
3043 

3518 
3994 

447° 

0710 
1186 
1662 

2138 
2614 
3090 

3566 
4042 
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0758 
1234 
1710 

2186 
2662 
3138 

3614 
4089 
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0805 
1282 
1758 

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2709 
3185 

3661 

4137 
4613 

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1329 

2281 
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3*33 

3709 
4184 
4660 

960  4708 

4755 

4803 

4850 

4898 

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5041 

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5136 

5^3 
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6i35 
6610 
7086 
7561 

8036 
8512 
8987 

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6182 

6658 

7J32 
7608 

8084 

8559 
9034 

5*79 
5754 
6230 

6705 
7181 
7656 

8131 
8607 
9082 

5126 
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6277 

6753 

7228 
7704 

8i79 
8654 
9129 

5374 
5»49 
63*5 
6800 
7276 
775* 
8226 
8702 
9177 

54*i 
5897 
6372 

6848 
73*3 
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8*74 
8749 
9224 

5469 

5944 
6420 

6895 

7371 
7846 

8321 
8797 
9272 

5516 

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6467 

6943 
7418 
7894 

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9319 

5564 
6039 

6515 

699<? 
7466 

794» 
8416 
8802 
9367 

5611 

6087 
6563 

7«>38 

75^3 
7989 

8464 
8939 
9414 

9609462 

95°9 

9557 

9605 

9652 

9700 

9747 

9795 

9842 

9890 

9937 
961  0412 
0887 

1362 

"37 
2312 

2787 
3262 
3736 

9985 
0460 
0935 
1410 
1885 
*359 
2834 
33°9 
3784 

0032 
0507 
0982 

*457 
1932 

2407 

2882 
3357 
3831 

0080 

°555 
1030 

1505 
1980 
*4S4 
2929 
3404 
3879 

6127 
0602 
1077 

1552 
2027 
2502 

2977 

345J 
39*6 

5175 
0650 
1125 

1600 

2075 
*549 
3024 
3499 
3974 

5222 
0697 
1172 

1647 
2122 

2597 

3072 
3546 
4O2I 

8270 
0745 

I22O 

1695 

2170 
2644 

3119 

3594 
4069 

6317 
0792 
1267 

1742 
2217 
2692 

3167 
3641 
4116 

6365 
0840 
1315 
1700 
2264 
2739 

3*I4 
3689 

4163 

961  4211 

4258 

4306 

4353 

4401 

4*48 

4496 

4543 

459' 

4638 

N. 

0 

1 

2 

3 

4 

5 

6  |  7 

8 

9 

P.  P. 

91000"=  25°i6'4o"   9100"*=  2*31'  40"  8.4.6854340  T.  8568 
91100  =  15  18  20    9110  «  2  31  50       4337   8574 
91200  *=  25  20  o    9120  =  2  32  o       4334   8580 
91300  =  25  21  40    9130  =  a  3»  10       433°   8586 
91400  =  25  23  20    9140  =  2  32  20       4327   8593 

169 


N. 

0 

1 

2 

3 

4 

5 

6 

7 

8 

9 

P.  P. 

9150 

5* 
5* 
53 

54 

55 
56 

15 

59 

9160 

61 
62 
63 
64 

65 
66 

67 
68 
69 

9170 

71 
72 

73 

74 
75 
76 

n 
7« 

79 

9180 

81 
82 

8jJ 
84 

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86 

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88 

89 

9190 
9* 

9* 

93 

94 

9£ 
96 

97 
98 

99 

9200 

9614211 

4258 

4306 

4353 

4401 

4448 

4496 

4543 

459* 

4638 

48 

I   4.8 

2   9.6 

3  *44 
4  *9-* 
5  *4-o 
6  28.8 

7  33-6 
8  384 
9  43-* 

47 
*  4-7 
2  9.4 
3  14.1 
4  18.8 

5  *3-5 
6  28.2 

7  3*9 
8  37-6 
9  4*-3 

4686 
5160 
5635 
6109 
6583 
7058 

753* 
8006 
8481 

4733 
5208 
5682 

6157 
6631 
7105 

7580 
8054 
8528 

4780 
5*55 
573«> 
6204 
6678 
7*53 
7617 
ftioi 
8575 

4828 
5302 
5777 
6251 
6726 
7200 

1674 

8149 
8623 

4875 
535° 
5824 

6*99 
6773 
7248 

7722 
8196 
8670 

49*3 
5397 
5»7* 

6346 
6821 
7*95 
7769 

8*43 
8718 

4970 
5445 
59^9 

6394 
6868 

734* 

7817 
8291 

8765 

5018 

549* 
5967 

6441 
6916 
739° 

7864 
8338 
8812 

5065 
5540 
6014 

6489 
6963 
7437 

7912 
8386 
8860 

5**3 

I!!7 
6062 

6536 
7010 

7485 

7959 
8433 
8907 

961  8955 

9002 

9050 

9°97 

9144 

9192 

9*39 

9287 

9334 

9381 

94*9 
9903 
962  0377 

0851 
1325 
1799 

1272 
2746 
3220 

9476 
9950 
0424 

0898 
1172 
1846 

2320 
2793 
3267 

95*4 
9998 
0472 

0946 
1419 
1893 

2167 
2841 
33H 

957i 
6045 
0519 

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1467 
1941 

2414 
2888 
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9618 
5092 
0566 

1040 
1514 
1988 

2462 
1936 
34«>9 

9666 
3140 
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1088 
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2035 

2509 
2983 
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9713 
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1183 
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1130 

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307» 
355* 

9808 
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1704 
2178 

2651 
3125 
3599 

9855 
6329 
0803 

**77 
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2225 

2699 

3*7* 
3646 

962  3693 

3741 

3788 

3«35 

3883 

393«> 

3978 

4025 

4072 

4120 

4167 
4640 
5114 

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6534 
7007 
7481 
7954 

4214 
4688 
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6108 

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8001 

4262 

4735 
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6155 
6629 

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Z57S 
8048 

4309 

4783 
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6203 
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7622 
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4356 
4830 
53«>3 

5777 
6250 
6723 

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58*4 
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6771 

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7717 
8190 

445* 
49*5 
539* 
5871 

634$ 
6818 

7291 
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4498 
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5445 

59*9 
6392 
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7339 
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5966 
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7186 

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8332 

4593 
5067 
5540 
6013 

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6960 

7433 

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962  8427 

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8521 

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8758 

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8853 

8900 

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9630319 
0792 
1264 

'737 

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2683 

8947 
9420 

9893 
0366 

0839 
1312 

1784 
2257 
2730 

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9467 
994° 

0413 
0886 
1359 
1832 
2304 
2777 

9042 

95S5 
9988 

0461 

0933 
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1879 
2352 
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9089 
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0508 
0981 
1454 
1926 
2199 
2872 

9136 
9609 
9o82 

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1028 
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9184 
9657 
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0602 
1075 
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9704 

3177 
0650 
1123 
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2068 
2541 
3°*3 

9278 

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0224 

0697 
1170 
1643 

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2588 
3061 

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9799 
5271 

0744 
1217 
1690 

2163 
2635 
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3202 

3250 

3*97 

3344 

339* 

3439 

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3533 

3580 

3628 
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4573 

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6934 
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3675 

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4620 

5092 

5565 
6037 

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4667 

5*39 
5612 
6084 

6556 
7028 
7501 

3769 
4242 

47*4 
5187 

5659 
6131 

66°* 

7076 

7548 

3817 

4*89 
4762 

5*34 
5706 
6179 

6651 

7123 
7595 

3864 
4336 
4»09 
5281 

m 

6698 

7170 
7642 

39" 
4384 
4856 

5128 
«8oi 

6273 

6745 
7217 
7689 

3958 
443* 
4903 

517» 
5M 

6320 

6792 
7*65 
7737 

4006 
4478 
495* 

54*3 

1% 

6367 

6840 
7312 
7784 

4°53 
45*5 
499» 

547° 
594* 
6415 

6887 
7359 
7»3* 

963  7878 

7925 

7973 

8020 

8067 

8114 

8161 

8209 

8256 

8303 

N. 

0 

1 

2 

3 

4 

5 

6 

7 

8  |  9 

P.  P. 

91500"  =«  25°  25'  o"   9150"=  2*32'  30"  8.4.6854324  T.  8599 
91600  =  25  16  40    9160  =  2  32  40       4321    8605 
91700  =  25  28  20    9170  =  2  32  50       4318   86n 
91800  =  25  30  o    9180  =  2  33  o       4315    8617 
91900  =  15  31  40    9190  =  2  33  10       4312   8624 

170 


N. 

0 

1 

2 

3 

4 

5 

6 

7 

8 

9 

P.  P. 

9200 

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N. 

0 

1 

2 

3 

4 

5 

6 

7 

8 

9 

P.  P. 

92000"=  25*33'  20"   9*00'=  2*33'  10"  8.4.6854309  T.  8630 
92100  =  25  35  o    9210  =  2  33  30       4305    8636 
92200  =  25  36  40    9220  SB  2  33  40       4302   8643 
92300  —  25  38  20    9230  —  i  33  50        4299   8649 
91400  =  25  40  o    9240  =  2  34  o       4*9"   8655 

171 


N. 

0 

I 

2 

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4 

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P.  P. 

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966  1417 

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0 

1 

2 

3 

4 

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6 

7 

8 

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P.  P. 

91500"=  15*41'  40"    9250*=  2°34'xo*  8.4.6854293  T.  8661 

91600  =  15  43  20    9160  =  i  34  10       4190   8668 

91700  =  15  45  o    9170  —  i  34  30       4187   8674 

91800  =  25  46  40     9180  =  i  34  40        4283    8680 

91900  =  15  48  ao    9190  =  i  34  50       4280   8687 

172 


N. 

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P.  P. 

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N. 

0 

1 

2 

3 

4 

5 

6 

7 

8 

9 

P.  P. 

93000"=  25  50*  0*     9300"  ss  2°35'  0"  8.4.6854277  T.  8693 

93100  =  25  51  40    9310  =  2  35  10        4274   8699 
93200  =  25  53  20    9320  •=  2  35  20       4271   8706 
93300  =  25  55  o    9330  =  2  35  30       4168   8712 
93400  =  25  56  40    9340  =  2  35  40       4264   8718 

173 


N. 

0 

1 

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3 

4 

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P.  P. 

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9 

P.  P. 

99  coo  r*  27*38'  20*   99§o*  =»  2°  45  50*  8.4.6854064  T.9IIQ 

99600  as  27  40  O     9960  =s  2  46  O          4O6l     9I2O 

99700  =  27  41  40    9970  =»  2  46  xo        4°57   9*33 

99800  =  27  43  20    9980  =  2  46  20       4054   9*4° 

99900  «=  27  45  o    9990  =  2  46  30       4051   9146 

186 


Table  for  converting  natural  Logarithms 
into  common  Log*. 

Table  for  converting  common  Log*. 
into  natural  Log*. 

0 

o.ooo  oooo 

50 

11.714  7241 

o 

o.ooo  oooo 

So 

115.119  1546 

i 

0.434  1945 

5« 

22.149  0*86 

t 

1.301  5851 

5* 

117431  8397 

2 

0.868  5890 

5* 

22.583  3131 

A 

4.605  1702 

5* 

119.734  4148 

3 

1.301  8834 

53 

23.017  6075 

3 

6-907  7553 

53 

111.037  0099 

4 

i 

'•737  »779 
2.171  4724 
2.605  7669 

54 

13.451  9020 
13  886  1965 
14.310  4910 

4 

i 

9.210  3404 
11.51*  9155 
13.815  5100 

54 

Ii 

»*4-339  5950 
116.641  j  80  1 
118.944  7651 

7 

3.040  0614 

57 

*4-754  7855 

2 

16.118  0957 

57 

»3'.*47  3503 

8 

3474  3559 

25.189  0800 

• 

18410  6807 

58 

x33-549  9354 

9 

3.908  6503 

59 

15.613  3744 

9 

10.713  1650 

59 

135.851  5105 

10 

4.341  9448 

60 

26.057  6689 

10 

23.025  8509 

60 

138.155  1056 

ii 

4-777  *393 

61 

26491  9634 

ii 

25.328  4360 

61 

140457  6907 

11 

5.111  5358 

62 

16.926  1579 

ii 

27.631  0111 

61 

141.760  1758 

'3 

5.645  8183 

63 

17.360  5524 

«3 

19.933  6061 

63 

145.061  8609 

14 

6.080  1117 

64 

17.794  8468 

14 

31.136  1913 

64 

147.36s  4460 

ii 

6.514  4171 
6.948  7117 

H 

28.229  1413 
28.663  4358 

ii 

34-538  7764 
36.841  3615 

d 

149.668  0310 
151.970  6161 

»7 

7.383  0061- 

67 

29.097  7303 

17 

39.143  9466 

67 

154.273  ion 

It 

19 

7.8x7  3007 
8.151  5951 

68 
69 

29.532  0148 
29.966  3193 

18 

41446  5317 
43.749  1168 

68 
69 

156.575  7863 
158.878  3714 

10 

8.685  8896 

70 

30400  6137 

SO 

46.051  7019 

70 

161.180  9565 

ii 
11 

9.120  1841 
9-554  4786 

7* 

30.834  9081 
31.169  1017 

11 

11 

48.354  1870 
50.656  8710 

7* 

163483  5416 
165.786  1167 

*3 

9.988  7731 

73 

31.703-4971 

*3 

5*-959  457' 

73 

168.088  7118 

*4 

10413  0676 
10.857  3610 
11.291  6565 

74 
76 

32.137  7017 
31.571  0861 
33.006  3806 

*4 

ll 

55.161  0411 

57564  6173 
59.867  2124 

74 

170.591  1069 
171.693  8820 
174.996  4671 

3 

11.715  9510 
12.160  2455 

n 
78 

33.440  6751 
3.1-874  9696 

% 

61.169  7075 
64471  3816 

3 

»77->99  0511 
179.601  6373 

19 

12.594  5400 

79 

34.309  1641 

29 

66.774  9677 

79 

181.904  1113 

30 

13.028  8345 

80 

34.743  5586 

30 

69.077  5518 

80 

184.106  8074 

3* 
33 

13463  1289 
13.897  4134 
14.331  7179 

ll 

82 

35.177  8530 
35.611  1475 
36.046  4420 

3* 
33 

71.380  1379 
73.681  7230 
75-985  3081 

81 
81 
83 

186.509  3915 
188.811  9776 
191.114  5617 

34 

14.766  0124 

84 

36.480  7365 

34 

78.187  8931 

84 

193417  1478 

35 
S6 

15.200  3069 
15.634  6013 

85 
86 

36.915  0310 
37-349  3*54 

ll 

80.590  4783 
81.893  0633 

ll 

195.719  7319 
198.011  3180 

12 

39 

16.068  895^ 
16.503  1903 
16.937  4848 

87 
88 

89 

i  37-783  6199 
38.217  9144 
38.652  2089 

ll 

39 

85-I95  6484 
87.498  1335 
89.800  8186 

ll 
89 

100.514  9031 
101.617  4881 
204.930  0733 

40 

I7-37I  7793 

90 

39.086  5034 

4° 

91.103  4037 

90 

107.232  6584 

41 

17.806  0738 

91 

39.520  7979 

4» 

94405  9888 

9« 

209.535  2435 

4* 
43 

18.140  3681 
18674  6617 

91 
93 

39-955  0022 
40.389  3868 

4* 
43 

96.708  5739 
99.011  1590 

9* 
93 

111.837  8186 
114.140  4136 

44 

19.108  9571 

94 

40.823  6813 

44 

101.313  7441 

94 

116441  9587 

46 

19.543  1517 
19.977  5461 

95 
96 

41.257  9758 
41.691  1703 

3 

103.616  3192 
105.918  9143 

Ii 

118.745  5858 
111.048  1689 

47 

10411  8406 

97 

41.116  5647 

47 

108.221  4994 

113.350.  7540 

48 

10.846  1351 

9* 

41.560  8591 

48 

110.524  0045 

, 

115.653  3391 

49 

11.180  4196 

99 

4*-995  1537 

49 

112.826  6690 

99 

117.955  9*4* 

50 

11.714  7241 

100 

43.429  4481 

50 

115.129  1546 

100 

130.158  5093 

Base  of  the  common  Logarithms       —  10.000  oooo 

Bate  of  the  natural  Logarithm!  (e)    =     2.718  2818 

Log   nat.  JO  =     2.3025851 

Log.  rulg.  2.7182818(6).     .    .     .    —    0.4342945 

II 

LOGARITHMS 

OF  THE 

SINES  AND  TANGENTS 

FROM  SECOND  TO  SECOND 


188 


sinO0 


M 

0' 

1' 

2' 

3'    j   4'    |   5' 

// 

0 

I 

2 
3 

4 

1 

5 

9 

10 

ii 
ii 
13 
*4 

:i 

\i 

*9 

20 

ii 
iz 
23 

*4 

*J 
2 

19 

30 

3» 
31 

33 

34 
35 
3» 

Ii 

39 

40 

4» 
4* 
43 
44 

4i 

46 

4Z 

48 
49 
5° 
5» 
5* 
53 
54 

H 

H 

59 
60 

6463  7161 

6.7647561 

6.940  8473 

7.065  7860 

7.162  6960 

60 

52 
58 

57 
56 
55 

54 

53 
5* 
5* 

5° 

42 

4* 
47 
46 
45 
44 

43 
4* 
4» 
40 

32 
38 

37 
36 
35 
34 

33 
3* 
3» 

30 

3 

»7 
16 

*5 

14 

*3 

11 
ii 

20 

\l 

17 

16 
IS 
H 

»3 

12 
II 

IO 

S 

7 
6 

5 
4 
3 

2 
I 

0 

4.685  5749 
4.986  6049 
5.161  6961 
5.287  6349 

5-3*45449 
5463  7261 

5.5306729 
5.588  6649 
5.639  8174 

64709047 

647?  9665 
64849154 

!•«!  7ft8 
6498  4882 

6.505  1  1  88 
6.5116497 
6.5180838 
6.5244139 

6.768  3602 

6-771  9347 
6.775  4800 

6.778  9965 
6.7824849 

6-785  9454 
6-789  3786 
6.792  7848 
6.796  1645 

6-943  »534 
6.945  6462 
6.948  0259 
6.950  3926 
6-95*  746s 
6.955  °8?8 
6.9574164 

*-9l973^ 
6.961  0366 

7.067  5918 
7.069  3901 

7.071  1  8  10 
7.072  9646 
7.074  7408 
7.076  5099 
7.078  1717 
7.080  0264 
7.081  7741 

7.164  1411 
7.165  5817 
7.1670173 

7.1684483 
7.169  8745 
7.171  1961 
7.171  7131 
7.174  1254 
7.175  5332 

5.685  5749 

6.5306729 

6.799  5182 

6.964  3184 

7.083  5148 

7.1769364 

5.7269676 
5.764  7561 
5.7995182 
5.831  7029 
5.861  6661 
5.889  6948 
5.916  0138 
5.940  8474 
5.9643185 

6.536  8332 
6.542  9074 
6.548  8977 

6.560  6361 
6.566  3884 
6.572  0656 
6-577  6695 
6.583  2019 

6.802  8461 
6.806  1488 
6.809  4265 
6.812  6706 
6.815  9°86 
6.819  "37 
6.822  2954 

H*S4$3? 
6.828  5896 

6.966  6082 
6.968  8760 
6.971  1311 
6.973  5765 
6.975  6094 
6-977  8309 
6.980  0410 
6.982  2400 
6.9844279 

7.085  2485 
7.086  9753 
7.0886953 
7.0904085 
7.0921149 
7.093  8147 
7.095  5079 

7-097  ;945 
7.098  8745 

7.1783351 
7.179  7293 
7.181  1190 
7.182  5043 
7.183  8853 
7.185  2618 
7.186  6340 
7.188  0018 
7.189  3654 

5.986  6049 

6.588  6648 

6.83  1  7029 

6.986  6048 

7.100  5481 

7.1907247 

6.0077942 
6.017  9975 
6.047  30*7 
6.065  7861 
6.083  5149 
6.100  5481 
6.1169386 
6.1317319 
6.147  9729 

6.5940599 

6-599  3887 
6.604  6529 

6.609  8541 
6.6149938 
6.620  0733 

6.625  °94Z 
6.6300575 
6.634  9649 

6.8347939 
6.837  8632 
6.8409109 

6.843  9373 
6.846  9428 
6.8499277 
6.852  8922 
6.85<  8365 
6.8587611 

6.9887709 
6.990  9262 
6-993  0708 

6-995  *>5° 
6.9973287 
6.9994420 
7.001  5451 
7.003  6381 
7.005  7211 

7.1011153 
7.103  8760 
7.105  5305 
7.107  1787 
7.108  8106 
7.1104564 
7.1110860 
7.113  7095 
7.115  3170 

7.1920797 
7.193  4306 
7.194  7772 
7.196  1107 
7.197  4580 
7.198  7923 
7.200  1224 
7.201  4485 
7.201  7706 

6.162  6961 

6.639  8174 

6.861  6661 

7.007  7941 

7.116  9385 

7.204  0886 

6.176  9366 
6.190  7248 
6.1040888 
6.2170538 
6.229  &429 
6.141  8774 
6.253  7766 
6.265  5585 
6.276  6395 

6.644  6162 
6.649  36*7 
6.6540578 
6.658  7027 
6.663  1985 
6.667  8461 
6.671  3466 
6.676  8009 
6.681  izoo 

6.8645518 
68674184 
6.870  2663 
6.8730955 
6.875  0065 
6.878  6994 
6.881  4745 
6.884  2319 
6.886  9719 

7.009  8572 
7.011  9107 
7-o»3  9544 
7.015  9886 
7.0180132 
7.020  0285 
7.0220345 
7.0240313 
7.0260189 

7.118  5440 
7.120  1436 
7.121  7374 

7-«3  3*53 
7.124  9074 
7.1264838 
7.128  0545 
7.129  6105 
7.131  1789 

7.205  4027 
7.2067128 
7.108  0189 
7.209  3211 
7.210  6195 
7.211  9140 
7.213  2046 
7.2144914 
7.215  7744 

6.287  6349 

6.685  574s 

6.889  6948 

7.027  9975 

7.132  7328 

7.217  0536 

6.298  7587 
6.308  8241 
6.3i9°433 
6.320  0275 
6.3387874 
6.348  3327 
6.357  6717 
6.366  8161 
6.375  7709 

6.689  8961 
6.694  1750 
6.698  4111 
6.702  6081 
6.706  7641 
6.710  8807 
6.7149586 
6.718  9986 
6.723  0013 

6.892  4007 
6.895  0898 
6.897  7624 
6.9004187 
6.903  0588 
6.905  6829 
6.908  2913 
6.910  8841 
6.913  4615 

7.0299671 
7.031  0278 
7.033  8796 
7.035  8118 

7-°37  7573 
7.039  6831 

7.041  6006 
7.043  5096 
7.045  4103 

7.1342811 
7.135  8238 
7.137  3612 
7.138  8931 
71404196 
7.141  9408 
7.143  4566 
7.144  9671 
7.1464716 

7.218  3290 
7.219  6008 
7.220  8688 
7.122  1331 
7.223  3938 
7.224  6508 
7.225  9041 
7.227  1539 
7  228  4001 

6.384  5449 

6.726  9675 

6.916  0237 

7.047  3026 

7.147  9727 

7.229  6427 

6.393  1450 
6401  5782 
64098507 
6417  9686 
6415  9376 
6433  7629 
6441  4497 
6449  0029 
6456  4269 

6.7308978 
6.7347929 
6.738  6533 

6-74*4797 
6.746  2717 
6.7500318 

6-753  760? 
6-757  4569 
6.761  1218 

6.918  5709 
6.921  1033 
6.923  6209 
6.926  1141 
6.918  6119 
6.931  0875 

6-933  548i 
6-935  9948 
6.9384278 

7.049  1868 
7.051  0618 
7.0519307 
7.054  7906 
7.056  6426 
7.058  4868 
7x5603231 
7.062  1517 
7.063  9727 

7.1494677 
7.1509576 
7.1524423 
7.1539221 
7-155  3967 

7.1583311 
7.159  7910 
7.161  2459 

7.2308818 
7.232  1173 
7-*33  3494 

7-*34  5779 
7.235  8030 
7.237  0246 
7.238  24*9 
7-*394577 
7.240  6691 

6463  7161 

6.7647561 

6.940  8473 

7.065  7860 

7.162  6960 

7.241  8771 

a 

59' 

58' 

57' 

56' 

65' 

64' 

II 

cos  89' 


tangOc 


189 


// 

0'   |    1' 

2' 

3* 

4' 

5' 

H 

o 

I 
* 
3 

4 

3 
I 

9 
10 
ii 
ii 
13 
H 

!i 

11 

*9 
20 
u 

21 

*3 
H 

,1 
3 

*9 

30 

3i 
3* 

33 
34 

Ji 

s 

39 

40 

4» 

4* 
43 
44 

* 
8 

49 

50 

5* 
5* 
S3 
54 

If 

U 

59 
60 

_ 

6463  7161 

6.764  7562 

6.9408475 

7.065  7863 

7.161  6964 

60 

11 

57 
56 
55 
54 

53 
5» 

5i 
50 

4.685  5749 
4.986  6049 
5.161  6961 
5.087  6349 

5-384  5449 
5463  7161 

5.550  6719 
5.588  6649 
5.639  8174 

64709047 
6477  9666 
64849154 

!-*9»  7549 
6498  4881 
6.505  1  1  88 

S  '5II  49Z 
6.5180838 

6.5244*40 

6.768  3603 

6.771  9347 
6.775  4800 

6.7789966 
6.781  4849 
6.785  9455 
6.789  3786 

^2S7St 

6.796  1646 

6-943  *5$6 
6-945  6464 
6.9480261 

6.9503928 
6.952  7467 
6-955  0879 
6-957  4166 
6.9597318 
6.962  0368 

7.067  5921 

7-0693904 
7.071  1813 

7.0729649 
7.0747412 
7.076  5102 
7.078  2720 
7.0800268 
7.081  7744 

7.164  1417 
7.165  5811 
7.167  0171 
7.168  4488 
7.169  8750 
7.171  2966 
7.17*7136 
7.174  1259 
7-175  5337 

5.685  5749 

6.5306729 

6.7995183 

6.964  3286 

7.083  5151 

7.1769369 

5.716  9676 
5.7*4  7561 
5-799  5»8* 
5.831  7019 
5.861  6661 
5.8896949 
5.916  0238 
5.940  8474 
5.9643285 

6-536  8332 
6.542  9074 
6.548  8977 
6.554  8066 
6.560  6361 
6.566  3885 
6.572  0656 
6-577  6695 

6.583  2O2O 

6.802  8462 
6.806  1489 
6.8094266 
6.812  6707 
6.815  9087 

6.819  "3* 
6.822  2955 
6.825  45*0 
6.828  5897 

6.9666084 
6.968  8762 
6.971  1323 

6-973  3767 
6.975  6096 
6.9778311 
6.9800412 
6.982  2402 
6.984  4181 

7-085  2488 
7-0860756 

7.088  6956 

7.0904088 
7.092  1153 
7.093  8151 
7.095  5081 
7.097  1948 
7.098  8749 

7-178  3356 
7.179  7*98 
7.181  1195 

7-I!4?°42 

7.183  8858 
7.185  2623 

7.1866345 

7.188  0023 

7.189  3659 

4t 
4* 

47 
46 
45 
44 

43 
4* 
41 

5.986  6049 

6.588  6649 

6.831  7030 

6.986  6050 

7.100  5484 

7.1907152 

40 

9 

37 
3« 
35 
34 

33 
3* 
3* 

3« 

3 

*7 
26 
*5 

*4 

*3 

22 
21 

2O 

X2 

18 
17 
16 
15 
14 

13 

12 
II 

IO 

1 

7 
6 

5 

4 

3 

2 
I 

0 

6.007  794* 
6-017  9975 
6.047  3°*7 
6.065  7861 
6.083  5H9 
6.100  5481 

6.1169386 
6.131  7329 
6.147  97*9 

6-594  o<Q9 
6-599  3887 
6.604  0530 

6.609  8542 
6.6149938 
6.6200733 

6.625  °94I 
6.630  0576 
6  634  9049 

6.8347940 
6.837  8633 

6.8409110 

6.843  9374 
6.846  9420 
6.8499278 
6.852  8923 
6.855  8367 
6.858  7612 

6.9887711 
6.9909264 
6-993  0710 
6-995  *os* 
6  997  3*»9 
6-999  44** 
7.001  5454 
7.003  6383 
7.005  7113 

7.101  1156 
7.103  8764 
7.105  5309 
7.107  1790 
7.108  8210 
7.1104567 
7.1120864 
7.1137099 
7.115  3174 

7.192  0802 

7.1934311 

7.194  7777 

7.196  1201 
7.1974586 
7.198  7928 
7.200  X23O 
7-201  4491 
7.2027711 

6.1626961 

6.6398174 

6.861  6662 

7.007  7943 

7.1169389 

7.2040892 

6.1769366 
6.190  7248 
6.1040888 

6.117  °53& 
6.219  6419 
6  141  8774 
6.253  7766 

6-165,  35«5 
6.1766395 

6.644  6163 
6.649  36*7 
6.654  0578 

6.658  7028 
6.663  2985 
6.667  8461 
6.672  3466 
6.676  8010 
6.681  2101 

6.8645519 
6.867  4185 
6.870  2664 

6-873  0957 
6.875  9°^ 
6.878  6995 
6.881  4746 
6.884  2320 
6.886  9721 

7.009  8575 
7.011  9100 
7.013  9546 
7.015  9888 
7.018  0135 
7.020  0288 
7.022  0348 
7.0240315 
7.016  0191 

7.1185444 
7.1201440 
7.121  7378 
7.123  3257 
7-1*49078 
7.1264842 

7.1280549 
7.129  6199 
7.131  1793 

7.205  4032 
7.206  7133 
7.2O8  OI95 
7.209  |2I7 
7.2IO  6lOI 
7.2II  9145 

7.213  2052 
7.2144910 
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6.7149587 
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6  441  4497 
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7.140  6698 

6463  7261 

6.7647562 

6-9408475 

7.065  7863 

7.162  6964 

7-141  8778 

M 

59' 

58' 

57' 

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54' 

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cotg89c 


190 


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7.243  0818 
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7.245  4813 
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7.2514225 
7.252  6010 

7.309  8567 
7.310  8870 
7.311  9149 

7.3149404 

7-313  9635 
7.3149844 

7.3160044 
7.317  0185 
7.3180318 

7.367  7195 
7.368  6215 
7.369  5216 
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7-50643*1 
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7.3200518 

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7.3240638 
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7.3260560 
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7.376  6559 

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7.378  4214 

7-379  3°'4 
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7.381  0561 
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7.382  8038 
7.383  6750 

74*6  7259 
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74*8  2995 
7.429  0841 
74*9  8673 
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7431  4*95 
7432  2085 
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7.471  6154 
7.474  3457 
7473  0347 
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7.477  2649 

7.512  2966 

7.512  9434 
7.513  5892 
7.5142340 

7-514  8779 
7.515  5208 

7.516  1628 
7.516  8038 
7-5174439 

7.265  3582 

7.3290272 

7.384  5444 

7433  76*4 

7477  9659 

7.5180830 

7.266  4996 
7.267  6380 
7.268  7734 
7.269  9058 
7.271  0353 
7.272  1619 
7.273  2856 
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7.3300151 
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7-331  97«3 

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7-333  9345 
7-334  9°94 
7-335  8821 
7-336  8525 
7-337  8209 

7.3854122 
7.386  4784 
7.387  1444 
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7480  7588 
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7.278  8607 
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7-393  9953 
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7.495  1690 
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7.505  1181 

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// 

53' 

52' 

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49'     |        48' 

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7.171  0361 
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7.3300141 
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7.176  6400 

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7.181  1725 
7.183  1706 

7.2843659 
7.185  4585 
7.186  5483 

7-339  75" 
7.3407140 
7.341  6738 
7-34*6314 
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7-3445404 
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7-54*909* 

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7.910  8793 

7.926  1190 

7.940  8419 

// 

35' 

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// 

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8.061  3536 
8.061  53W 
8061  7184 
8.064  9005 
8x963  0816 
8.063  4647 

8.063  S86 
8.063  8104 

8.073  1610 
8x9733408 
8.073  5x86 
8.0736964 
8x973  8741 
8x9740517 

8x974  4404 
8.0744067 
8.074  5841 

8.083  7098 
8.083  8835 
8.084  0570 
8.084  4305 
8.0844039 
8.0845773 
8.084  7506 
8.084  9118 
8.085  0969 

8.019  9838 

8.041  6183 

8.051  9493 

8.063  9944 

8.074  7614 

8.085  1700 

8.030  1801 
8.030  3766 
8.0305749 

8.030  7693 

8-0309653 
8.031  1613 

8.031  3573 
8-031  553* 
8-031  74»9 

8.041  8096 
8.0410008 
8.041  1919 
8.041  3819 
8.041  5730 
8.041  764! 

8-04*  9555 
8.043  H6* 
8.043  3369 

8-053  *356 
8.053  3"9 
8x953  5081 

8-053  6943 
8.053  8803 
8.054  0663 
8.054  1544 
8.054  4380 
8.054  6137 

8.064  1739 
8-064  3555 
8.064  5371 
8.064  7185 
8.064  8099 

8.065  08  1  4 

8.065  1615 
8.065  443* 

8.065  6147 

8.074  9386 
8x975  ZI58 

8.075  *9*9 

8x9754699 
8.075  6469 
8.075  8438 
8x9760006 
8.076  X773 
8.076  3540 

8x585  $430 
8.085  6160 
8.085  7888 

8.085  9616 
8.086  1344 
8.086  3070 
8.086  4796 
8.086  6514 
8.086  8146 

8.0319446 

8-043  5*74 

8*548094 

8.065  8057 

8.076  5306 

8.086  9970 

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cotg  89* 


202 


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8.086  9646 

8x197  1831 

8.107  l669 

8.1169161 

8.126  47x0 

8.135  8104 

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52 
58 

57 
56 
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54 
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8.087  1369 
8.087  3091 
8.0874813 

8.087  6534 
8.087  8*54 
8.087  9974 
8.088  1691 
8.0883411 
8.088  5118 

8-0973515 
8.0975198 
8.097  6879 
8.097  8560 
8.098  0140 
8.098  1910 
8.098  3599 
8.0985177 
8.098  6955 

8.1073314 
8.107  4958 
8.107  6601 

8.107  8144 

8.107  9886 

8.108  1518 
8.108  3169 
8.108  4809 
8.1086449 

8.1170870 
8.117  2478 
8.117  4085 
8.1175691 

8.«77*97 
8.1x78902 

8.1180507 
8.1x82111 
8.1183714 

8.126  6181 
8.126  7856 
8.116  9418 
8.117  0999 
8.117  *57° 
8.117  4140 

8.127  57IC 

f-1*7  im 

8.127  8848 

8.135  9644 
8.136  1183 
8.136  1712 
8.136  4260 
8.136  5797 
8.136  7334 
8.136  8871 
8.1370407 
8.137  1942 

8.088  6845 

8.098  8631 

8.108  8088 

8.1185317 

8.1180416 

8-137  3477 

8.088  8561 
8.089  0177 
8.089  I99I 
8.089  3706 
8.089  5419 
8.089  7131 

8.089  8844 
8.0900555 
8.090  1166 

8.0990309 
8.099  1984 
8.0993659 

8-099  5334 
8.099  7008 
8.099  8681 
8.1000353 
8.100  1015 
8.1003697 

8.108  9716 
8.109  1364 
8.109  3001 
8.109  4638 
8.109  6174 

8.109  7909 

8.109  9544 
8.110x178 
8.1102811 

8.1186919 
8.118  8520 
8.1190121 
8.1x9  1722 
8.1x93322 
8.1194921 
8.1196519 
8.1198118 
8.«9  9715 

8.118  1983 
8.118  3550 
8.1185x17 
8.118  6681 
8.118  8248 
8.1289811 
8.129  X376 
8.129  *94° 
8.1294503 

8.137  5011 

8-137  6545 
8.137  8078 

8.137  9^1° 
8.138  1143 
8.138  2674 
8.138  4105 
8.138  5736 
8.138  7165 

8.090  3976 

8.1005367 

8.x  xo  4445 

8.110  1312 

8.119  6065 

8.138  8795 

8.090  5685 

8-09°  7394 
8.090  9101 

8.691  0810 
8.091  1516 
8.091  4111 
8.091  5918 
8.091  7631 
8.091  9336 

8.100  7037 
8.1008706 
8.ioi  0375 
8.ioi  1043 
8.IOI  3710 
8.101  5377 
8.ioi  7043 
8.101  8709 
8.101  0374 

8.1106077 
8.110  7709 
8.1109340 
8.1110970 
8.  in  2600 
8.x  1  1  4119 
8.HI  5858 
8.1  1  1  7486 
8.1119113 

8.120  2908 
8.1204504 
8.1206099 
8.100  7693 
8.120  9287 
8.I1X  0881 
8.X2I  2474 

8.I2X  4066 

8.I2X  5657 

8.129  7617 
8.1199188 
8.1300749 
8.130  2109 
8.130  3860 
8.1305426 
8.130  6986 
8.130  8544 
8.131  oxoi 

8.1390324 
8.139  i<>5* 
8.139  3380 

8.1394907 
8.139  6454 
8.139  7900 

8.1399485 
8.140  i  on 
8.1401535 

8.091  1040 

8.101  1038 

8.1110740 

8.121  7248 

8.131  1658 

8.140  4059 

8.091  1743 
8.0914445 
8.091  6146 
8.091  7847 
8.091  9547 
8.093  1146 

8.093  *945 
8.093  4043 
8.093  6340 

8.101  3701 
8.101  5364 
8.101  7017 
8.101  8688 
8.103  0349 
8.103  1010 
8.103  3669 
8.103  53*8 
8.103  6987 

8.1121366 
8.1123091 
8.1115617 
8.1127241 
8.  in  886< 
8.1130488 

8.113  *XI° 
8.113  3732 
8."35354 

8.I2X  8839 
8.1220420 

8.122  20X8 
8.122  3607 

8.1225195 

8.122  6782 
8.122  8369 
8.122  9956 
8.123  1541 

8.131  3215 
8.131*770 
8.131  6325 

8.131  7880 

8-131  9434 
8.132  0987 

8.132  2540 
8.1344093 
8.132  5644 

8.1405583 

8.I4O  710} 
8.X40  8628 
8.I4I  OlfO 
8.I4I  1671 
8.I4I  3X92 
8.I4I  4711 
8.X4I  0232 
8.I4I  7751 

8.093  8037 

8.103  8645 

8.1136974 

8.123  3™7 

8.132  7x96 

8.141  9270 

8-093  9733 
8.094  1418 
8.0943113 
8.0944817 
8.0946510 
8.094  8103 
8.0949805 
8.095  1587 
8.095  3*77 

8.104  °3°* 
8.104  «9S9 
8.1043615 

8.104  5*70 
8.1046915 
8.104  8579 
8.105  °*3* 
8.105  1885 
8.105  3537 

8.113  8595 
8.1140114 
8.114  1833 
8.1143451 
8.1145069 
8.1146686 
8.114  8301 
8.1149918 
8.115  1534 

8.123  4711 
8.113  6295 
8.123  7879 
8.123  946* 
8.124  1044 
8.124  *6*6 
8.1244207 
8.124  5787 
8.x*4  73*7 

8.132  8746 
8.133  °*96 
8.133  l846 

8.133  3395 
8.133  4943 
8.133  0491 
8.133  8059 

8.133  9586 
8.1341132 

8.141  0788 

8.141  2406 
8.141  3823 

8.14*  5339 
8.141  6855 
8.141  8371 
8.141  9886 
8.143  H00 
8.143  *9i4 

8.095  4968 

8.105  5l88 

8.1x53148 

8.124  «947 

8.134  1678 

8.143  44*7 

8.095  6657 
8.095  8346 
8.096  0034 
8.096  1711 
8.096  3408 
8-0965094 

8.096  6780 
8.096  8465 
8.097  0149 

8.105  6839 
8.105  8490 
8.1060139 
8.106  1788 
8.106  3457 
8.106  5085 
8.106  6731 
8.106  8378 
8.1070014 

8.1154761 
8.115  6376 
8.«5  7989 
8.x  x  59601 
8.1x6  1113 
8.116  1814 

8-1164434 
8.1166044 
8.1167654 

8.115  °5*6 
8.125  *i°4 
8.125  3682 

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8.115  6836 

8.115  8411 

8.125  9987 
8.116  1561 
8.116  3136 

8.1344113 
8.134  5767 
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8-134  8855 
8.135  039* 
8.135  1940 
8.135  348* 
8-135  50*3 
8.135  6564 

8.143  5940 

8.143  89H 
8.1440476 
8.144  1987 
8.144  3497 
8.1445006 
8.1446516 
8.1448024 

8.097  1831 

8.107  1669 

8.116  9162 

8.1164710 

8.135  8104 

8.144953* 

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8.107  2025 

8.1169634 

8.116  5099 

8.135  8510 

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8.087  l693 
8.087  34" 
8.087  5138 
8.087  68S9 
8.087  8579 
8.088  0199 
8.088  10x8 
8.088  3737 
8.088  5455 

8,097  3855 
8.097  5538 
8.0977110 
8.097  8901 
8.098  0581 
8.098  1161 
8.0983041 
8.098  5619 
8.098  7197 

8.107  3670 
8.107  5314 
8.107  6958 

8.107  8601 

8.108  0243 
8.108  1885 

8.108  3516 
8.108  5167 
8.108  6807 

8.117  Ia43 
8.117  l85J 
8.1174458 
8.1x7  6064 
8.117  7670 
8.1179276 
8.1180881 
8.118  1485 
8.1184088 

8.126  6672 
8.126  8145 
8.116  9817 

8.117  *389 
8.117  1960 
8-1*7453' 
8.117  6l01 
8.117  7670 
8.117  9*39 

8.136  0050 
8.136  1590 
8.136  3x19 
8.136  4667 
8.136  6105 
8.136  7741 
8.136  9179 
8.137  0815 
8.137  1350 

8.088  7171 

8*98  8975 

8.108  8446 

8.1185691 

8.118  0807 

8.137  3886 

8.088  8888 
8.0890604 
8.089  *3X9 
8.0894033 
8.089  5747 
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8.089  9*7* 
8.0900884 
8.0901595 

8.0990651 
8.099  4347 
8.0994003 

8.099  5677 
8*99735* 
8.0999015 

8.1000698 

8.KX3  1370 
8.1004041 

8.109  0085 
8.109  1743 
8.109  33"1 
8.1094098 
8.109  6634 
8.109  8269 
8.1099904 
8.110  1539 
8.1103173 

8.118  7294 
8.1x8  8896 
8.1190497 

8.119  2098 
8.1193698 
8.119  5*97 
8.1196896 
8.1198495 
8.1200092 

8.128  2375 
8.128  3941 
8.128  5509 
8.118  7075 
8.118  8641 
8.119  °*o6 
8.119  1770 

8.x»9  3334 
8.1294897 

8.137  54»o 

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8.137  M« 

8.1380010 
8.138  1553 
8.138  3085 
8.138  4616 
8.138  6x47 
8.1387677 

8.090  4305 

8.I0057I2 

8.1104806 

8.1201689 

8.129  646° 

8.1389107 

8.090  6015 
8.090  7714 
8.0909431 
8.091  1140 
8.091  1847 
8-091  4553 
8.091  6259 
8.091  7064 
8.091  9668 

8.IOO7381 
8.IOO9O51 

8.101  0711 
8.IOX  1389 
8.IOI  4057 
8.XOX  5714 
8.IOI  7390 
8.iox  9056 
8.xoa  0711 

8.1106438 
8.1108070 
8.1109702 
8.  in  1331 
8.x  xi  1901 
8.x  1  1  4591 
8.  in  6111 
8.x  1  1  7849 
8.x  1  1  9477 

8.1103186 
8.1204882 
8.1206477 
8.110  8071 
8.120  9666 
8.x  ii  1160 
8.I11  1853 
8.I11  4446 
8.HX  6037 

8.119  8011 
8.129  9583 
8.1301144 
8.130  1705 
8.130  4165 
8.130  5824 
8.130  7383 
8.1308941 
8.131  0498 

8.1390716 
8.139  41&4 
8-139  379* 
8.13953*0 
8.139  6847 
8.139  8373 
8.139  9899 
8.140  1415 
8.1401949 

8.091  1371 

8.101  1386 

8.  in  1x04 

8.I1I  7619 

8.131  1056 

8.1404474 

8.091  3075 
8.0914777 
8.091  6479 
8.091  8180 
8.091  9880 
8-093  »579 
8.093  3*7* 
8.093  4977 
8.093  6674 

8.101  4049 
8.101  5713 
8.101  7375 

8.1019037 
8.103  0698 
8.103  4359 
8.103  4019 
8.103  5678 
8-103  7337 

8.1X2  2730 
8.1114356 
8.1115981 
8.1117606 
8.1119130 

8.1130853 
8.113  3476 

8.1134098 
8.113  5710 

8.I2I  9119 
8.1110810 
8.111  1399 
8.111  3988 
8.111  5577 
8.111  7164 
8.111  8751 
8.113  0338 
8.113  19*4 

8.131  3611 
8.131  5168 
8.131  0713 
8.131  8178 
8.131  9853 
8.131  1386 
8.131  1940 

8.13*449* 
8.1316044 

8-140  5997 
8.140  7511 
8.1409043 
8.141  0566 
8.141  1087 
8.141  3608 
8.141  5119 
8.141  6649 
8.141  8x68 

8.093  837* 

8.103  8995 

8.113  7341 

8.113  3510 

8.132  7596 

8.141  9687 

8.0940068 
8.094  1765 
8.0943458 

f-094^5! 
8.094  6846 

8.094  8539 

8.095  0*3* 
8.095  1943 
8.095  3614 

8.1040653 
8.104  1309 
8.104  396° 
8.104  5611 
8.1047176 
8.1048931 
8.105  0584 
8.105  "37 
8.105  3890 

8.1138961 
8.1140581 
8.1x4  iioo 
8.11438x9 

8-«4  5437 
8.1147054 

8.1148671 
8.1150287 
8.115  »903 

8.113  5095 
8.113  6679 
8.113  8163 
8.113  9846 
8.114  H*9 
8.124  3011 

8.124459* 
8.1146173 
8.124  7753 

8.1329147 
8.133  0697 
8.133  4*47 
8.133  3796 

8.133  5345 
8.133  6893 

8.133  8441 
8.133  99»8 
8.1341535 

8.141  1206 
8.141  1714 
8.141  4241 
8.142  5758 
8.142  7174 
8.141  8790 
8.143  0505 
8.143  18*0 
8-143  3334 

8.095  5305 

8.105  5542 

8.1153518 

8.1249333 

8.1343081 

8.143  4848 

8.0956094 
8.095  8683 
8.096  0371 
8.0961060 
8x196  3747 
8.096  5433 
8.09671x9 
8.0968804 
8.097  0488 

8.105  7193 
8.105  8843 
8.100  0493 
8.106  1141 
8.106  3791 
8.106  5439 
8.106  7087 
8.106  8733 
8.107  °3°° 

8.1155132 
8.1x5  6746 
8.115  8359 
8.1x59971 
8.1161584 
8.1163195 
8.1164806 
8.1166416 
8.1168025 

8.125  0912 
8.125  1491 
8.125  4069 
8.125  5646 
8.125  7**3 
8.i*5  8799 
8.126  0375 
8.126  1950 
8.1163525 

8.1344626 
8.1346171 
8.1347715 
8.1349259 
8.135  0802 
8.135  *345 
8.135  3887 
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8-115  *97° 

8.143  6361 
8-143  7»74 
8.X43  9386 
8.1440897 
8.144  *4o8 
8.144  39'9 
8.144  5420 
8.1446938 
8.144  8447 

8.097  "74 

8.107  aoa5 

8.1169634 

8.126  5099 

8.135  8510 

8.1449956 

// 

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8.162  6808 

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8.145  4054 
8.145  556o 
8.145  7<>65 
8.145  *S70 
8.146  0075 
8.146  1579 
8.146  3082 

8.1540552 
8.154  20*8 

8.154  3504 

8.1544979 
8.154  6454 
8.1547928 

8.154  94°* 
8.155  0876 
8.155  a348 

8.162  8255 
8.162  9702 
8.163  XI49 

8.163  *594 
8.163  4040 
8-163  54*5 
8.163  69*9 
8.163  8373 
8.163  9"7 

8.171  4223 
8.171  5641 
8.171  7059 
8.171  8477 

8.171  9»94 
8.171  1310 

8.172  1726 
8.172  4141 

8.172  5557 

8.179  8521 
8.179  99" 
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8.607  5^4 
8.607  5584 
8.607  6103 

8.6103021 
8.6103537 
8.6104053 
8.610  4569 
8.610  5085 
8.610  5601 
8.6106117 
8.6106632 
8.610  7148 

8.613  3875 
8.613  4387 
8.613  4»99 
8.613  5412 
8.613  59H 
8.613  °43° 
8.613  6948 
8.613  746° 
8.613  797» 

8.6164510 
8.616  5019 
8.616  5527 
8.6166036 
8.616  6545 
8.616  7053 
8.6167561 
8.616  8070 
8.6168578 

8.619  4930 
8.619  5435 
8.619  594° 
8.619  6446 
8.6196951 
8.619  7456 

8.619  796o 
8.619  8465 
8.619  8970 

8.6045357 

8.607  6622 

8.610  7663 

8.613  8484 

8.616  9087 

8.619  9475 

8.604  5880 
8.604  6403 
8.604  6926 

8.604  7449 
8.604  7972 
8.604  8494 

8.604  9°*7 
8.604  9539 
8.605  0062 

8.607  7  '4* 
8.607  7661 
8.607  8180 
8.607  8690 
8.6079218 
8.607  9736 
8.608  0255 
8.608  0774 
8.608  1293 

8.6108179 
8.6108694 
8.6109210 
8.6109725 
8.6  1  1  0240 
8.611  0755 
8.611  1270 
8.611  1785 
8.611  2300 

8.613  8996 
8.613  95°7 
8.6140019 
8.6140531 
8.614.1042 
8.614  »554 
8.614  2065 
8.6142577 
8.6143088 

8.616  9595 
8.6170103 
8.6170611 

8.617  1119 
8.617  ^27 
8.617  II35 
8.617  1643 
8.617  3*5^ 
8.6173658 

8.619  9979 
8.620  0484 
8.620  0989 
8.620  149? 
8.620  1998 
8.620  2502 
8.620  3006 
8.620  3511 
8.6204015 

8.605  0584 

8.608  1811 

8.6112815 

8.6143599 

8.617  4166 

8.6204519 

8.605  1106 
8.605  1629 
8.605  1151 

8.605  2&73 
8.6053195 
8.6053717 
8.605  4239 
8.605  4761 
8.605  5*82 

8.608  2330 
8.608  2848 
8.608  3367 
8.608  3885 
8.608  4403 
8.608  4922 
8.608  5440 
8.608  5958 
8.608  6476 

8.611  3330 
8:611  3845 
8.611  4360 
8.6114874 
8.611  5389 
8.611  5904 
8.611  6418 
8.611  6932 
8.6117447 

8.6144110 
8.6144611 
8.6145133 

8.614  5644 
8.6146155 
8.614  6666 
8.6147176 
8.614  7687 
8.6148198 

8.6174674 
8.6175181 
8.617  5689 
8.617  6196 
8.617  6704 
8.617  7*11 
8.6177718 
8.617  8225 
8.6178733 

8.610  5023 
8.6205527 
8.6206031 
8.610  6535 
8.620  7039 
8.620  7543 
8,620  8046 
8.6208550 
8.620  9054 

8.605  5804 

8.608  6994 

8.611  7961 

8.614  8709 

8.617  924° 

8.620  9557 

8.605  63i6 
8.605  6847 
8.605  73^9 
8.605  7891 
8.605  84'* 
8.605  8933 
8.6059455 
8.605  9976 
8.606  0497 

8.6087511 
8.608  8030 
8.608  8548 
8.608  9065 
8.608  9583 
8.609  oioi 
8.6090618 
8.609  !I3^ 
8.609  J^53 

8.6  u  8475 
8.6  1  1  8990 
8.  61  1  9504 
8.6120018 
8.612  0531 
8.612  1046 
8.612  1560 
8.612  2073 
8.6122587 

8.6149219 
8.614  973° 
8.615  0240 
8.615  °75! 
8.615  ll()I 
8.615  1771 

8.615  2282 
8.615  2792 
8.615  3302 

8.617  9747 
8.6  1  8  0254 
8.6180761 
8.6  1  8  1267 
8.6  1  8  1774 
8.6182281 
8.6182788 
8.618  3294 
8.6183801 

8.621  0061 
8.6210564 
8.621  1067 
8.621  1571 
8.621  2074 
8.621  2577 
8.621  3080 
8.6ai  3583 
8.611  4086 

8.606  1018 

8.609  ai7' 

8.612  3101 

8.6153812 

8.618  4307 

8.621  4589 

8.606  1539 
8.606  2060 
8.606  2581 
8.606  3102 
8.606  3613 
8.6064143 
8.606  4664 
8.6065185 
8.606  5705 

8.609  2688 
8.609  32O5 
8.609  37" 
8.609  4240 
8.6094757 
8.609  5274 
8.6095791 
8  609  6307 
8.609  6824 

8.6123615 
8.6124128 
8.6124642 

8.612  5155 
8.612  5669 
8.6126182 
8.612  6695 
8.612  7208 
8,612  7721 

8.615  4312 
8.6154832 
8.615  534* 
8.615  5851 
8.615  63>* 
8.613  6871 

8.615  738i 
8.615  7891 
8.615  8400 

8.6184814 
8.678  5320 
8.6185826 
8.6186333 
8.6186839 
8.618  7345 

8.6187851 
8.6188357 
8.6188863 

8.621  5092 
8.621  5595 
8.621  6098 
8.621  6601 
8.621  7103 
8.621  7606 
8.621  8109 
8.621  8611 
8.621  9114 

8.606  6116 

8.609  7341 

8.612  8235 

8.615  8910 

8.618  9369 

8.621  9616 

" 

41' 

40' 

39' 

38' 

37' 

36' 

ft 

cos  87° 


tang  2C 


235 


// 

18' 

19' 

20' 

21' 

22' 

23' 

" 

0 

I 

i 
3 
4 

6 

8 
9 
10 
ii 

12 

»3 

14 

11 

17 

18 
»9 
20 

21 
22 

23 
14 

3 

3 

19 

8.603  8386 

8.606  9777 

8.6100943 

8.613  l889 

8.616  1616 

8.619  3I27 

60 

59 
58 
57 
56 
55 
54 
53 
51 
5i 
5° 

42 
48 

47 
46 
45 
44 

43 
42 
4i 
40 

32 
38 

37 
36 
35 
34 

33 
32 
3> 

3° 

*2 
28 

27 
26 
25 
24 

23 

22 
21 

20 
19 

18 
'7 
16 
15 
14 

13 

12 
II 

10 

7 
6 

5 

4 

3 

2 
I 
0 

8.6038911 
8.603  9436 
8.603  9961 

8.604  0485 
8.604  IOI° 
8.604  »535 
8.6041060 
8.604  2584 
8.6043109 

8.607  0298 
8.6070819 
8.607  I34° 
8.607  *86i 
8.607  2383 
8.607  *9°3 
8.607  3414 
8.607  3945 
8.607  44°° 

8.610  1461 
8.610  1978 
8.6101496 
8.6103013 
8.6103531 
8.610  4048 
8.6104565 
8.6105082 
8.6105599 

8.613  *4°* 
8.613  29*6 
8.613  343° 
8.613  3944 
8.613  4457 
8.613  497  * 
8.613  5485 
8.613  5998 
8.613  &511 

8.6163126 
8.616  3636 
8.6164146 
8.6  1  6  4656 
8.6165166 
8.616  5676 
8.6166186 
8.616  6696 
8.6  1  6  7206 

8.619  3634 
8.6194141 
8.619  4647 
8.6195154 
8.619  566° 
8.619  6167 
8.619  6673 
8.6197180 
8.6197686 

8.604  3633 

8.607  4987 

8.6106116 

8.613  7025 

8.616  7716 

8.619  8192 

8.6044158 
8.604  4681 
8.604  5Z°6 
8.6045731 
8.604  &255 
8.6046779 

8.604  73°3 
8.604  7827 
8.6048351 

8.607  55°7 
8.607  6oi8 
8.607  6548 
8.607  7069 
8.607  1589 
8.60-78110 
8.607  8630 
8.607  9r5° 
8.607  9670 

8.6106633 
8.6107150 
8.6107667 
8.6  10  8184 
8.6108700 
8.6109217 
8.6109733 
8.6110250 
8.6  1  1  0766 

8.613  7538 
8.613  8051 
8.613  8564 

8.613  9°78 
8.6139591 
8.6140104 
8.6140617 
8.614  II29 
8.614  J^42 

8.616  8225 
8.6168735 
8.6169145 
8.6169754 
8.617  0264 
8.6170773 
8.617  "81 
8.617  *792 
8.617  23O1 

8.619  8698 
8.619  91O4 
8.6199710 
8.6200216 
8.610  0712 
8.6201228 
8.620  1734 
8.620  2239 
8.620  1745 

8.604  8875 

8.608  0190 

8.611  1283 

8.6142155 

8.617  2810 

8.6203251 

8.604  9398 
8.604  9922 
8.605  0446 
8.605  °969 
8.605  '493 
8.605  2OI° 
8.605  1540 
8.605  3063 
8.605  3586 

8.608  0710 
8.608  1230 
8.608  1750 
8.608  1270 
8.608  1790 
8.6083310 
8.608  3829 
8.608  4349 
8.608  4868 

8.6  1  1  1799 
8.611  2315 
8.611  2832 
8.6113348 
8.6113864 
8.611  4380 
8.6  1  1  4896 
8.611  5412 
8.6115928 

8.614  2&&8 
8.6143180 
8.6143693 

8.6144205 
8.6144718 
8.614  5*3° 
8.614  5743 
8.614  OI55 
8.6146767 

8.6173319 
8.6173828 
8.6174337 

8.617  4846 
8.617  5355 
8.617  5864 

8.617  6372 
8.617  ^881 
8.617  7390 

8.620  3756 
8.620  4262 
8.610  4767 
8.620  5173 
8.620  5778 
8.620  6283 
8.610  6788 
8.620  7294 
8.620  7799 

30 

8.605  4110 

8.6085388 

8.6  1  1  6443 

8.6147279 

8.6177898 

8.620  8304 

3' 

32 

33 
34 

li 
H 

39 
40 

4' 

4» 
43 

44 

3 

8 

49 
5° 
5» 
5i 
53 
54 

N 

55l 

59 
60 

8.605  4633 
8.605  SJS6 
8.605  5679 

8.605  6102 
8.605  67*5 
8.605  7147 

8.605  7770 
8.605  8291 
8.605  8816 

8.608  5907 
8.608  6427 
8.608  6946 
8.608  7465 
8.608  7984 
8.608  8503 
8.608  9021 
8.608  9541 
8.6090060 

8.6  1  1  6959 
8.611  7475 
8.6  1  1  7990 
8.611  8506 
8.6  1  1  9021 
8.6119537 
8.612  0052 
8.6120567 
8.612  1083 

8.6147791 
8.6148303 
8.6148815 
8.6149327 
8.6149839 
8.615  0351 
8.615  o8°i 
8.615  1374 
8.615  *886 

8.617  8407 
8.617  8915 
8.617  9424 
8.617  9932 
8.618  0440 
8.618  0948 

8.6  1  8  1456 
8.618  1965 
8.618  2473 

8.620  8809 
8.6209314 
8.62098x8 
8.621  0323 
8.621  0828 
8.621  1333 
8.621  1837 
8.621  1342 
8.621-2846 

8.605  9338 

8.6090579 

86121598 

8.615  2397 

8.618  2981 

8.621  3351 

8.605  9861 
8.606  0383 
8.6060906 
8.606  1428 
8.606  1950 
8.606  1471 
3.6o6  2995 
8.6063,5  17 
8.606  4039 

8.609  I098 
8.609  Iol7 
8.6091135 
8.609  2654 
8.6093173 
8.609  3691 
8.609  4209 
8.609  47™ 
8.609  5246 

8.612  1113 
8.612  2628 
8.6123143 
8.6123658 
8.6124173 
8.6124688 

8.6  ii  5201 
8.611  5717 
8.612  6232 

8.615  29°9 
8.615  342° 
8.615  393* 
8.615  4443 
8.615  4954 
8.615  5465 
8.615  5976 
8.615  M? 
8.615  6998 

8.618  3488 
8.618  3996 
8.6184504 
8.6  1  8  5012 
8.6185519 
8.618  60*7 
8.6186535 
8.6187042 
8.6187550 

8.621  3855 
8.621  4359 
8.621  4864 
8.621  5368 
8.621  5871 
8.621  6376 
8.621  6880 
8.621  7384 
8.621  7888 

8.6064561 

8.609  5764 

8.612  6746 

8.615  7509 

8.618  8057 

8.621  8392 

8.606  5083 
8.606  5604 
8.606  6126 
8.606  6648 
8.606  7169 
8.606  7691 
8.6068213 
8.606  8734 
8.6069255 

8.609  6*83 
8.609  °8oi 
8.6097319 
8.609  7837 
8.609  8355 
8.609  8872 
8.609  939° 
8.609  99°8 
8.6100426 

8.612  7261 
8.6127775 
8.6128290 
8.6128804 
8.6129318 
8.6129832 

8.6130347 
8.6130861 
8.6131375 

8.615  8010 
8.615  8531 
8.615  9°42 
8.615  9553 
8.6160063 
8.6160574 
8.616  1084 
8.616  1595 
8.616  2105 

8.618  8564 
8.6189072 
8.6189579 
8.6190086 
8.6190593 
8.619  i  ioo 

8.619  l6°7 
8.619  2II4 
8.619  2621 

8.621  8896 
8.621  9399 
8.621  9903 
8.622  0407 
8.622  0910 
8.622  1414 
8.622  1917 
8.622  2421 
8.622  2924 

8.606  9777 

8.6100943 

8.613  1889 

8.6162616 

8.6193127 

8.622  3427 

// 

41' 

40' 

39' 

38' 

37' 

36' 

M 

cotg  87C 


236 


sin2c 


II 

24'   |   25'   |   26'   |   27' 

28' 

29' 

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0 

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2 

3 

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9 
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8.6x7  9484 

8.6309111 

8.633  8537 

8.636  7764 

60 

sf 

58 

57 
56 
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42 
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8,611  0611 
3.6n  1113 
8.611  1615 
8.6x2  21x7 
8.611  26x9 
8,622  3131 
8.622  3633 
8.6224135 

8.625  oi  5  x 
8.6250651 
8.625  1150 

8.625  l649 
8.625  "47 
8.625  1646 

8.625  3144 
8.625  3643 
8.615  4141 

8.627  9980 
8.628  0475 
8.628  0970 
8.628  1466 
8.628  1961 
8.628  2456 
8.628  2951 
8.628  3446 
8.628  3941 

8.6309603 
8.631  0095 
8.631  0587 
8.631  1079 
8.631  1571 
8.631  2063 
8.631  2554 
8.631  3046 
8.631  3538 

8.633  90*5 
8.633  95*4 
8.634  0003 
8.634  0491 
8.634  0980 
8.634  1468 

8.634  1957 
8.634  2445 
8.634  2933 

8.636  8149 
8.6368735 
8.636  91x0 
8.636  9706 
8.637  0191 
8.637  °6?6 
8.637  1161 
8.637  1646 
8.637  **3* 

8.622  4637 

8.625  4639 

8.628  4436 

8.6314029 

8.634  3422 

8.637  *6*6 

8.6225138 
8.611  5640 
8.622  6142 
8.622  6643 
8.622  7145 
8.612  7646 
8.611  8148 
8.6x2  8649 
8.612  9150 

8.615  5138 
8.6x5  5636 
8.6x5  "34 
8.6x5  663* 
8.615  7I3° 
8.6x5  76lS 
8.6x5  8ia6 
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8.615  9111 

8.6284931 
8.628  5426 
8.628  5920 
8.628  6415 
8.628  6910 
8.628  7404 
8.628  7899 
8.628  8393 
8.628  8888 

8.6314521 
8.631  5012 
8.6315503 
8.631  5995 
8.631  6486 
8,631  6977 
8.631  7469 
8.631  7960 
8.631  8451 

8.634  3910 
8.634  4798 
8.634  4886 
8.634  5374 
8.634  5862 
8.634  6350 
8.634  6838 
8.634  73*6 
8.634  7813 

8.637  3*°* 
8.637  3586 
8.6374071 

8.6374555 
8.637  5«40 
8.637  55*5 
8.637  6009 
8.637  6494 
8.637  6978 

8.622  9652 

8.6x5  9620 

8.628  9382 

8.6318941 

8.634  8301 

8.637  7463 

8.623  0153 
8.613  0654 
8.623  "55 
8.6x3  1656 

8.613  **5° 
8.6x3  3159 
8.6x3  3659 
8.6x3  4160 

8.6260118 
8.616  0615 
8.626  1113 
8.626  1610 
8.626*108 
8.6x6  1605 
8.6x6  3103 
8.6x6  3600 
8.6x6  4097 

8.628  9877 
8.629  °37Z 
8.629  0865 

8.629  »359 
8.629  "53 
8.6x9  *347 
8.629  i841 
8.629  3335 
8.629  38*9 

8.631  9433 
8.631  9914 
8.632  0414 
8.631  0905 
8.631  1306 
8.631  1887 
8.63x2377 
8.632  2868 
8.6323358 

8.6348789 
8.6349276 
8.6349764 
8.635  ^S1 
8.635  0739 
8.635  1226 

8.635  »7i3 

8.635  X2OI 

8.635  *688 

8.637  7947 
8.637  843* 
8.637  8916 
8.637  9400 
8.637  9884 
8.638  0368 
8.638  0851 
8.6381336 
8.638  1810 

8.6x3  4661 

8.6x6  4594 

8.629  43*3 

8.632  3849 

•8.635  3*75 

8.638  2304 

8.623  5161 
8.623  5661 
8.6x3  6i6x 
8.6x3  6663 
8.613  7163 
8.6x37663 
8.623  8164 
8.6x3  8664 
8.613  9l64 

8.6x6  5092 
8.626  5589 
8.626  6086 
8.6x6  6583 
8.6x6  7080 
8.6x6  7576 
8.6x6  8073 
8.616  8570 
8.616  9067 

8,6x94817 
8.6x95310 
8.6x9  5804 
8.629  6298 
8.629  6791 
8.629  7285 

8.6x9  7778 
8.629  8271 
8.629  8765 

8.63*4339 
8.631  4830 
8.631  53x0 
8.631  5810 
8.631  6300 
8.631  6790 
8.631  7280 
8.632  7770 
8.632  8260 

8.635  3662 

8.635  4636 
8.635  51x3 
8.635  56*0 
8.635  6097 

8.635  6583 
8.635  7070 
8-635  7557 

8.638  1788 
8.638  3272 
8.638  3755 
8.6384239 
8.638  4723 
8.638  5206 
8.638  5690 
8.638  6173 
8.6386657 

8.6x3  9664 

8.616  9563^ 

8.629  9258 

8.632  8750 

8.635  8043 

8.638  7140 

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8.624  0664 
8.624  1164 
8.624  1664 
8.624  2l64 
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8.630  2709 
8.630  32O2 
8.630  3694 

8.631  9140 
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8.621  6446 
8.612  6948 
8.6227451 
8.622  7954 

8.6154017 
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8.615  55  l6 
8.625  °°i6 
8.6256515 

8.625  7OI5 
8.625  7514 
8.625  8013 

8.628  3898 
8.6284395 
8.6284891 

8.618  5387 
8.628  5883 
8.628  6379 
8.628  6875 
8.628  7371 
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8.631  3576 
8.631  4069 
8.631  4561 
8.631  5054 

8.6315547 
8.631  6040 

8.6316531 
8.631  7015 
8.6317517 

8.634  3052 

8-634  354* 
8.6344031 

8.6344521 
8.634  5010 
8.634  5500 
8.6345980 
8.6346478 
8.634  6967 

8.637  »33» 
8.637  1817 
8.637  33<>3 
8.637  3790 
8.637  4176 
8.6374762 

8.637  5*48 

8-637  5734 
8.637  6110 

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8.628  8363 

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8.628  8859 

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8.618  9850 

8.619  ou6 
8.629  0841 

8.619  '337 
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8.629  13I7 
8.629  2823 

8.631  8501 
8.631  8905 
8.631  9487 

8.631  9979 
8.632  0471 
8.632  0963 
8.632  1456 
8.631  1948 
8.632  2440 

8.634  7946 

8.6348435 
8.634  8924 

8.6349413 

8.634990* 
8.6350390 

8.635  o879 
8.635  1368 
8.635  1857 

8.637  719* 
8.637  7677 
8.637  8163 

8.637  8649 
8.637  9134 
8.6379620 
8.638  0105 
8.638  0591 
8.638  1076 

8.613  3480 

8.616  3501 

8.6293318 

8.631  1931 

8.635  2345 

8.638  1562 

8.623  3983 
8.623  448s 
8.613  4986 

8.613  54*3 
8.623  5990 
8.623  °49* 
8.613  6994 
8.623  7495 
8.623  7997 

8.626  4001 
8.626  4490 
8.626  4998 
8.626  5496 
8.626  5994 
8.626  6493 
8.626  6901 
8.626  7489 
8.626  7987 

8.629  381? 
8.629  43°8 
8.629  4803 
8.629  5298 
8.629  5703 
8.629  6288 
8.629  Ms 
8.629  7278 
8.629  7773 

8.632  3423 
8.6323915 
8.6314407 
8.6324899 

8-631  5390 
8.632  5882 

8.632  6573 
8.632  6865 
8.6327356 

8.635  *834 

8.635  33" 
8.6353811 

8.635  4*99 
8-635  47»7 
8-635  5*76 
8.635  5764 
8.635  6252 
8.635  674° 

8.638  1047 
8.638  2531 
8.638  3017 
8.638  3502 
8.638  3988 
8.638  4473 
8.638  4958 
8.638  5441 
8.638  5927 

8.623  8498 

8.626  8485 

8.629  8268 

8.632  7848 

8.635  7"8 

8.6386412 

8.623  9°°° 
8.623  9501 
8.624  °°°3 
8.624  0504 
8.624  IO°S 
8.624  1506 
8.6241008 
8.624  a5°9 
8.624  3°io 

8.626  8983 
8.626  9481 
8.626  9979 
8.6270477 
8.627  0975 
8.617  1473 
8.627  I97I 
8.627  2468 
8.627  2966 

8.629  8762 
8-619  9257 
8.6299751 

8.630  0246 
8.630  0740 
8.630  1235 
8.630  1729 
8.630  2223 
8.6302717 

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8.632  8830 
8.632  9321 
8.632  9811 
8.6330303 
8.633  <>795 
8.633  "85 
8.633  1776 
8.633  1167 

8.635  7716 
8.635  8*04 
8.635  8692 
8.635  9180 
8.635  9668 
8.6360155 
8.636  0643 
8.636  1131 
8.636  1618 

8.638  6857 
8.638  7382 
8.6387866 
8.638  8351 
8.638  8835 
8.638  9320 
8.638  9804 
8.639  o*89 
8.6390773 

8.6243511 

8.627  3463 

8.6303211 

8.633  2758 

8.636  2106 

8.639  1257 

8.61440x1 
8.62445" 
8.624  5<>*3 

8.6245514 
8.624  6015 
8.6146515 
8.624  7016 
8.624  75*6 
8.6248017 

8.627  3961 
8.627  4458 
8.6274956 
8.617  5453 
8.627  595° 
8.617  6447 

8.617  6944 
8.617  7441 
8.627  7938 

8.630  3706 
8.630  4200 
8.630  4694 
8.6305188 
8.630  5681 
8.630  6175 
8.630  6669 
8.630  7163 
8.630  7656 

8.633  3»49 
8.633  3740 
8.633  4*3«> 
8.633  47" 
8.633  5*« 
8.633  570* 
8.633  6*9* 
8.633  6683 
8.633  7^73 

8.636  3081 
8.6363568 
8.6364055 
8.636  4542 
8.636  5030 
8.636  5517 
8.636  6004 
8.636  6491 

8.639  »74» 
8.639  ***5 
8.639  2710 

8.6393194 
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8.639  4645 
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8.6248517 

8.627  8435 

8.6308150 

8.633  7663 

8.636  6978 

8.6396097 

8.6249017 
8.6249518 
8.625  0018 

8.625  <>5i8 
8.625  1018 
8.625  1518 

8.615  a°l8 
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8.625  3°l8 

8.627  8932 
8.627  9429 
8.627  9926 
8.618  0413 
8.6280910 
8.628  1416 
8.628  1913 
8.628  2409 
8.628  2906 

8.630  8643 
8.630  9137 
8.630  9630 
8.031  0124 
8.631  0617 

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8.631  1603 
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8.631  2590 

8.633  8153 
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8.634  0603 
8.634  1003 
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8.636  8438 
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8.637  0385 
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8.6398515 
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8.615  35  l8 

8.628  3402 

8.631  3083 

8.634  2563 

8.637  1845 

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36'   |   34'   |   33' 

32' 

31' 

30' 

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238 


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30' 

31' 

32' 

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34' 

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8.651  1016 

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8.645  4758 
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8  645  6185 
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8.651  1485 
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8.649  3  13° 
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8.651  3679 
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8.654  8896 
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8.6550758 
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8.644  0459 
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8.644  I4I4 
8.644  1891 
8.644  2368 
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8.644  3323 
8.644  3800 
8.644  4277 

8.646  9009 
8.646  9484 
8.646  9958 

8.647  °43a 
8.647  °9°6 
8.647  *38o 
8.647  1854 
8.647  2328 
8.647  *8o2 

8-649  7373 
8.649  7844 
8.649  8315 
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8.720  9642 
8.721  0042 
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8.721  1241 
8.721  1641 

8.723  2360 
8.723  1766 
8.723  3164 

8.713  3561 
8.723  3950 
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8.725  6165 
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8.727  9827 

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8.730  3363 
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8.732  9883 

8.721  2040 

8.723  5946 

8.725  9721 

8.728  3366 

8.730  6882 

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8.7195166 
8.7195569 
8.7195971 
8.7196374 
8.7196777 
8.7197179 
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8.721  8463 
8.721  8864 
8.711  9264 
8.711  9665 
8.721  0065 
8.722  0466 
8.722  0866 
8.721  1167 
8.712  1667 

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8.724  2832 
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8.7144813 
8.724  5221 
8.724  5620 

8.716  6273 
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8.7267858 
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8.726  8650 
8.716  9046 
8.726  9442 

8.728  9983 
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8.731  3566 
8.731  3958 
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8.7314741 
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8.731  5917 
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8.7197984 

8.721  2067 

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8.716  9838 

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8.731  7091 

8.7198387 
8.7198789 
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8.719  9594 
8.7199996 
8.7200399 
8.7200801 
8.720  1203 
8.720  1605 

8.722  1467 
8.721  2868 
8.711  3168 

8.711  3668 
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8.722  4868 
8.721  5268 
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8.7246416 
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8.724  8804 
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8.7295104 
8.729  5497 
8-7*9  5891 
8.729  6284 
8.719  6678 
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8.731  7484 
8.731  1875 
8.731  8267 

8.731  8658 
8.731  9050 
8.731  9441 

8.731  9833 
8.731  0224 
8.7310616 

8.720  2007 

8.711  6068 

8.714  9997 

8-7*7  3795 

8.729  7465 

8.731  1007 

8.720  2409 
8.7202812 
8.7203214 
8.7203616 
8.7204017 
8.7204419 
8.7204821 
8.720  5223 
8.7205625 

8.711  6468 
8.722  6868 
8.722  7268 
8.722  7667 
8.722  8067 
8.722  8467 
8.722  8867 
8.721  9266 
8.722  9666 

8.715  0395 
8.725  0792 
8.715  1190 
8.715  1588 
8.715  1985 
8.725  2383 
8.725  2780 
8.725  3178 
8-7*5  3575 

8.7274191 
8.727  4586 
8.727  4982 

8-7*7  5377 
8-7*7  5773 
8.7176168 

8.717  6563 
8-7*7  6959 

8-7*7  7354 

8.729  7858 
8.729  8252 
8.729  8645 

8.7*9  9038 
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8.7300118 
8.7300611 
8.730  1004 

8.731  1398 
8.731  1789 
8.731  1181 
8.731  1571 
8.731  1963 
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8.7314136 

8.731  4517 

8.720  6027 

8.723  0065 

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8.730  1397 

8.731  4918 

8.710  6428 
8.7206830 
8.720  7232 
8.720  7633 
8.720  8035 
8.7108437 
8.7208838 
8.7209239 
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8.723  0465 
8.723  0864 
8.723  1264 
8.713  1663 
8.723  2063 
8.723  2462 
8.723  2861 
8.723  3261 
8.723  3660 

8.715  4370 
8.715  4767 
8.715  5164 
8.715  5561 

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8.715  6356 

8.715  6753 
8-7*5  7150 
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8.711  1246 
8.711  1648 
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8.721  1851 
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8.730  8075 
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8-733  1560 
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8.721  6059 
8.721  6460 
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8.723  8448 
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8.724  0840 
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8.726  2309 
8.726  2706 
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8.728  6041 
8.728  6435 
8.728  6830 
8.728  7224 
8.728  7618 
8.728  8013 
8.718  8407 
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8.730  9644 
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8.731  1997 
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8-733  6141 

60 

8.711  8063 

8.724  2035 

8.726  5877 

8.718  9589 

8.731  3174 

8.733  6631 

// 

59'   |   58'   |   57'   |   56' 

55' 

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cotg  86C 


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8.733  *6o4 
8.733  *99* 
8-733  338i 
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8.735  39" 
8-735  4309 
8-735  4695 
8.735  5082 
8.735  5468 
8-735  5855 
8.735  6141 
8.735  6628 
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8-737  7444 
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8-737  8113 
8-737  8597 
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8-737  9366 
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8.740  0074 
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8.740  1986 
8.740  2368 
8.7402751 
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8.742  2966 

8-74*  3347 
8.742  3728 

8.742  4108 
8.742  4488 
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8-74*  5*49 
8.742  5629 
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8-744  5739 
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8.744  6496 
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8-744  7253 
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8.744  8000 
8.744  8388 
8.744  8766 

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8.738  1672 
8.738  2056 
8.738  2440 
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8.740  6190 
8.740  6572 
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8.742  6770 
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8.742  8671 
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8.74*9431 
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8-744  95*3 
8.744  9901 
8.745  °i79 

8-745  0657 
8-745  1035 
8-745  HI3 

8-745  1791 
8.745  2169 

8-745  *547 

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8.738  4360 

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8.7338428 
8.733  8816 
8.733  9204 

8.733  959* 
8-733  998° 
8.734  0368 

8-734  0756 
8-734  "43 
8.734  1531 

8.736  1648 
8.736  2034 
8.736  2420 
8.736  2806 
8.736  3192 
8.736  3578 
8.736  3963 
8.736  4349 
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8.738  4744 
8.738  5128 
8.7385512 
8.738  5806 
8.738  6280 
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8.738  7°47 
8.738  743i 
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8.7407718 
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8.740  8482 
8.740  8864 
8.740  9245 
8.7409627 
8.741  OOO9 
8.741  0390 
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8-743  0950 
8.743  1330 

8.743  1710 
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8-743  *470 
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8-743  3**9 
8.743  3608 

8-745  3303 
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8.745  4437 
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8-745  5947 
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8.736  6277 
8.736  6663 
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8.7367819 
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8.738  8582 
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M 

53' 

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8.790  1616 
8.790  1957 
8.790  2297 
8.790  2638 
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8.790  4000 
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8.792  2349 
8.792  2688 
8.794  3027 
8.792  3366 
8.792  3705 
8.791  4044 
8.792  4383 
8.792  4712 

8.794  2308 
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8-794  33^0 
8-794  3658 
8-794  3995 
8-794  433* 
8-794  4670 
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8.796  2511 
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8.796  3855 
8.7964190 
8.796  4526 
8.796  4862 
8.7965198 

8.786  3631 

8.788  4205 

8.7904681 

8.792  5061 

8-7945344 

8-796  5534 

8.786  3976 
8.7864320 
8.786  4663 
8.786  5007 
8.786  5350 
8.786  5694 
8.786  6038 
8.786  6381 
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8.788  4548 
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8.788  5574 
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8.790  5021 
8.7905362 
8.790  5702 
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8.7906383 
8.790  6724 
8.790  7064 
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8.792  5399 
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8.792  7432 
8.792  7771 
8.792  8109 

8.794  5682 
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8.794  7030 
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8-794  7705 
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8.788  7967 
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// 

29' 

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8.880  2267 
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8.886  9825 

8.888  4089 
8.888  4363 
8.888  4637 
8.8884911 
8.888  5184 
8.888  5458 
8.8885732 
8.888  6006 
8.888  6279 

8.890  0490 
8.890  0767 
8.890  1036 
8.890  1309 
8.890  1581 
8.890  1854 
8.890  2127 
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8.891  6831 
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8.891  7374 
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8.894  9600 
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8.890  8668 
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8.897  9480 
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8.901  7268 
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8.894  9107 

8.896  5120 

8.898  1073 

8.899  6967 

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8.894  9375 
8.894  9642 
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8.896  7250 
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8.898  1338 
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8.898  2134 
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8.898  2665 
8.898  2930 
8.898  3195 
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8-899  7760 
8.899  8025 
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8.901  3066 
8.901  3330 
8.901  3593 

8.901  3857 
8.901  4110 
8.901  4383 
8.901  4647 
8.901  4910 
8.901  5173 

8.902  8843 
8.902  9106 
8.901  9368 
8.901  9631 
8.901  9893 
8.903  0156 
8.903  0418 
8.903  0680 
8.903  0943 

8.895  1780 

8.896  7783 

8.898  3726 

8.899  9610 

8.901  5437 

8.903  1105 

8.895  1047 
8.895  1315 
8.895  1581 
8.895  1849 
8.895  3116 
8.895  33«3 
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8.895  39^7 
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8.896  8049 
8.896  8315 
8.896  8581 
8.896  8847 
8.8969113 
8.896  9380 

8.896  9646 
8.896  9911 
8.897  0178 

8.898  3991 
8.898  4256 
8.898  4521 

8.898  4787 
8.898  5052 

8.898  5317 
8.898  5581 
8.898  5847 
8.8986111 

8.8999875 
8.9000139 
8.900  0403 
8.900  0667 
8.9000931 
8.9001196 
8.900  1460 
8.900  1714 
8.900  1988 

8.901  5700 
8.901  5963 
8.901  6216 
8.901  6490 
8.901  6753 
8.901  7016 
8.901  7179 
8.901  7541 
8.901  7806 

8.903  1467 
8.903  1730 
8.903  1991 
8.903  1154 
8.903  1516 
8.903  1779 
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8.898  6377 

8.900  2252 

8.901  8069 

8.903  3828 

8.8954719 
8.895  4986 
8.895  5153 

8.895  5519 
8.895  5786 
8-895  6053 
8.895  6310 
8.895  6587 
8.895  6854 

8.897  0710 
8.897  0976 
8.897  1242 
8.897  1508 
8.897  1774 
8.897  2040 

8.897  2306 
8.897  1572 
8.897  1838 

8.898  6642 
8.898  6907 
8.898  7171 
8.898  7437 
8.898  7702 
8.898  7967 
8.898  8232 
8.898  8497 
8.898  8761 

8.9001516 
8.900  2780 
8.9003044 
8.900  3308 
8.900  357* 
8.900  3836 
8.900  4100 
8-9004364 
8.900  4628 

8.901  8332 
8.901  8595 
8.901  8858 
8.901  9111 
8.901  9384 
8.901  9647 
8.901  9910 
8.902  0173 
8.902  0436 

8.903  4090 
8.903  4351 
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8.903  4876 
8.903  5138 
8.903  5400 
8.903  5662 
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8.895  7111 

8.897  3104 

8.898  9027 

8.900  4892 

8.902  0699 

8.903  6448 

8.895  7588 

8.895  7655 
8.895  7911 

8.895  8188 

8-895  8455 
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8.895  8989 
8.895  9255 
8.895  9511 

8.897  3369 
8.8973635 
8-897  3901 
8.897  4167 
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8.897  4964 
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8.897  5496 

8.898  9292 
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8.900  6476 
8.900  6739 
8.900  7003 
8.900  7267 

8.901  0962 
8.901  1225 
8.902  1488 
8.901  1751 
8.901  1014 
8.901  1177 
8.901  2540 
8.902  1801 
8.902  3065 

8.903  6710 
8.903  6971 
8.903  7234 
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8.903  7758 
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8.903  8282 
8.903  8544 
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8.902  3328 

8.903  9068 

8.896  0056 
8.896  0311 
8.896  0589 
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8.896  1389 
8.896  1655 
8.896  1922 
8.896  2189 

8.897  6027 
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8.897  6559 
8.897  6814 
8.897  7090 
8.897  7356 
8.897  7611 
8.897  7887 
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8.896  1455 

8.897  8418 

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8.896  1725 
8.896  1994 
8.896  2264 

8.8976231 
8.897  6500 
8.897  6768 
8.897  7036 
8.897  73°4 
8.897  7572 

8.897  7840 
8.897  8108 
8.897  8376 

8.899  2293 
8.8992560 
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8.899  3095 
8.899  33> 
8.899  3029 
8.899  3896 
8.8994163 
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8.900  8297 
8.900  8563 
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8.900  9362 
8.900  9028 
8.900  9894 
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8.902  4242 
8.902  4507 
8.902  4773 
8.902  5038 
8.902  5303 
8.9025568 
8.901  5833 
8.902  6099 
8.902  6364 

8.9040130 
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8.904  0659 
8.904  0923 
8.904  1187 
8.904  1451 
8.904  1716 
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8.901  0692 

8.902  6629 

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8.896  2802 
8.896  3071 
8.896  3340 
8.896  3609 
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8.901  2288 
8.901  2554 
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8.902  6894 
8.902  7159 
8.901  7424 
8.902  7689 
8.902  7954 
8.9028219 
8.902  8484 
8.902  8749 
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8.904  2772 
8.904  3036 
8.904  3301 
8.904  3565 
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8.896  5222 

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8.896  5491 
8.896  5760 
8.896  6028 
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8.896  6566 
8.896  6835 
8.896  7104 
8.896  7372 
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8.898  1592 
8.898  1860 
8.8982128 
8.898  2395 
8.898  2663 
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8.898  3199 
8.898  3467 
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8.8997634 
8.899  7901 
8.899  8168 
8.899  8435 
8.899  8702 
8.899  8968 

8.899  9235 
8.899  9502 
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8.901  3618 
8.901  3884 
8.901  4150 
8.901  4416 
8.901  4682 
8.901  4948 
8.901  5213 

8.901  5479 
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8.902  9544 
8.902  9809 
8.903  0074 
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8.903  0604 
8.903  0869 
8.903  1134 
8.903  1399 
8.903  1664 

8.904  5413 
8.904  5677 
8-904  5941 
8.904  6205 
8.9046469 
8.904  6733 
8.9046997 
8.904  7261 
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8.896  7910 

8.898  4002 

8.900  0036 

8.901  6011 

8.903  1928 

8.904  7788 

8.896  8178 
8.896  8447 
8.896  8716 
8.896  8984 
8.896  9253 
8.896  9521 
8.896  9790 
8.897  0059 
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8.898  4270 
8.898  4537 
8.898  4805 
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8.901  6277 
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8.901  7074 
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8.901  7871 
8.901  8137 
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8.903  2193 
8.903  2458 
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8.903  3782 
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8.913  6161 
8.913  6417 
8.913  6673 
8.913  6929 
8.913  7185 

8.915  0474 
8.915  0750 
8.9150985 
8.915  1240 

8-915  M95 
8.915  1750 

8.915  2005 
8.915  2260 
8.915  2515 

8.9165758 
8.9166012 
8.916  6266 
8.916  6521 
8.916  6775 
8.916  7029 
8.916  7283 
8.916  7537 
8.9167791 

8.918  0987 
8.918  1241 
8.918  1494 
8.918  1747 

8.918  2001 
8.918  2254 
8.918  2507 
8.918  2760 
8.918  3014 

8.9196163 
8.919  6416 
8.919  6668 
8.919  6920 
8.919  7173 
8.919  7425 
8.919  7678 

8-919  793«> 
8.9198182 

8.921  1286 
8.921  1537 
8.921  1789 
8.921  2040 
8.921  2292 
8.921  2544 
8.921  2795 
8.921  3047 
8.921  3298 

5? 
58 
57 
56 
55 
54 

53 
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5i 

50 

4t 
48 

47 
46 
45 

44 

43 
42 

41 
40 

32 
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37 
36 
35 
34 

33 
32 

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30 

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22 
21 

20 

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18 

17 

16 
15 
14 

13 
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6 

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8.913  7441 

8.915  2770 

8.916  8046 

8.9183267 

8.919  8435 

8.921  3550 

8.913  7697 

8-913  7953 
8.913  8209 

8.913  8464 
8.913  8720 
8.913  8976 
8.913  9212 
8.913  9488 
8-9  i  3  9744 

8.915  3025 
8.915  3280 
8-9I5  3535 
8.915  3790 
8.915  4045 
8.915  4300 

8-915  4555 
8.915  4810 
8.915  5065 

8.916  8300 

8.916  8808 
8.916  9062 
8.9169316 
8.916  9570 
8.916  9824 
8.917  0078 
8.9170332 

8.918  3520 

8.918  3773 
8.918  4027 

8.9184280 
8.918  4533 
8.9184786 
8.918  5039 
8.918  5292 
8.918  5546 

8.919  8687 
8.919  8940 
8.919  9192 

8-919  9444 
8.919  9696 

8-919  9949 

8.920  O2OI 
8.9200453 
8.920  0705 

8.921  3801 
8.921  4052 
8.921  4304 

8.9*1  4555 
8.921  4807 
8.921  5058 
8.921  5309 
8.921  5561 
8.921  5812 

8-913  9999 

8.915  5320 

8.9170586 

8.918  5799 

8.920  0958 

8.921  6064 

8.914  0255 
8.9140511 
8.9140767 
8.914  1023 
8.914  1278 
8.914  1534 
8.914  1790 
8.914  2045 
8.914  2301 

8-9I5  5575 
8.9155830 
8.915  6085 
8.915  6339 
8.915  6594 
8.915  6849 
8.915  7104 
8.915  7359 
8.9157613 

8.917  0840 
8.917  1094 
8.917  1348 

8.917  1602 
8.917  1856 

8.917  2IIO 
8.917  2364 
8.917  26l8 
8.917  2872 

8.918  6052 
8.918  6305 
8.9186558 
8.9186811 
8.918  7064 
8.918  7317 
8.918  7570 
8.918  7823 
8.918  8076 

8.920  1210 
8.920  1462 
8.920  1714 
8.920  1966 
8.92O22I8 
8.920  2471 
8.920  2723 
8.920  2975 
8.920  3227 

8.921  6315 
8.921  6566 
8.921  6817 
8.921  7069 
8.921  7320 
8.921  7571 
8.921  7822 
8.921  8074 
8.921  8325 

8.914  2557 

8.915  7868 

8.9173125 

8.918  8329 

8.920  3479 

8.921  8576 

8.914  2812 
8.9143068 
8.914  3324 

8-9H  3579 
8.914  3835 
8.9144090 
8.9144346 
8.914  4601 
8.9144857 

8.915  8123 
8.915  8378 
8.915  8632 
8.915  8887 
8.915  9142 
8.915  9396 
8.915  9651 
8.915  9906 
8.916  0160 

8.9173379 

8.917  3633 
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8.9174141 
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8.917  4902 
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8.9188582 
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8.918  9593 
8.918  9846 
8.919  0099 
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8.9203731 
8.920  3983 
8.9204235 
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8.9205243 
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8.921  8827 
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8.914  5112 

8.9160415 

8.917  5663 

8.919  0858 

8.920  5999 

8.912  1087 

8.9145368 

8.914  56*3 
8.914  5879 

8.914  6134 
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8.9161178 
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8.916  1688 
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8.916  2196 
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8.917  5917 
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8.915  1313 
8.915  1571 
8.915  1819 

8.9165x08 
8  916  5465 
8  916  57XX 
8.9165970 
8.916  6x36 
8.916  6493 
8.916  6750 
8.916  7006 
8.916  7x63 

8.918  0596 
8.918  0852 
8.9181108 
8.918  1364 
8.918  16x0 
8.918  1876 

8.918  2132 

8.918  2388 
8.918  2644 

8.919  5930 
8.919  6186 
8.919  6441 
8.9x9  6696 
8.919  6951 
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8.9197461 
8.919  7716 
8.9197971 

8.9X1  111! 
8.9X1  1466 
8.9X1  1720 
8.921  1974 
8.9X1  1X28 
8.9X1  2483 

8.9x1  2737 
8.9x1  2991 
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8.915  1086 

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8.918  2900 

8.919  8226 

8.921  3499 

8.922  8719 

8.915  2144 
8.915  xoox 
8.915  x859 
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8-9I5  3375 
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8.915  3890 
8.915  4147 
8.915  4405 

8.916  7777 
8.916  8034 
8.916  8290 

8-916  8*7 
8.916  8804 
8.916  9060 
8.916  9317 
8.916  9574 
8.916  9830 

8.9183156 
8.918  3412 
8.918  3667 

8.918  39x3 
8.918  4179 
8.9184435 
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8.9184946 

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8.9x9  8736 
8.919  8991 

8.919  9x46 
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8.9x1  5023 
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8.922  8973 
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8.9x3  0998 

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8.9200775 

8.9x1  6039 

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8.915  49x0 
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8-9I5  5435 
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8.915  595° 
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8.915  6465 
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8.917  0344 
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8.917  1113 
8.917  1370 
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8.917  1883 
8.917  2140 
8.917  2396 

8.918  5714 

8.918  5969 
8.918  61x5 
8.918  6481 
8.918  6736 
8.918  6992 
8.918  7x48 
8.918  7503 
8.918  7759 

8.9x0  1030 
8.9x0  1x85 
8.9x0  1540 
8.920  1794 
8.920  X049 
8.9x0  1304 
8.9x0  2559 
8.9x02813 
8.910  3068 

8.921  6193 
8.921  6547 
8.911  6801 
8.921  7055 
8.9x1  7309 
8.921  7563 
8.921  7817 
8.921  8071 
8.9x1  8325 

8.923  1504 
8.923  1757 

8.923  2010 
8.923  2163 
8.9X3  2516 

8.9x3  2769 
8.9x3  3022 

8-9*3  3*75 
8.923  3528 

8.915  7137 

8.917  2653 

8.918  8014 

8.9x0  33x3 

8.921  8578 

8.923  3781 

8.915  7494 
8.915  775* 
8.915  8009 
8.915  8x66 
8.915  85x4 
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8.917  4191 
8.9174448 
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8.918  85x6 
8.918  8781 
8.9189037 
8.918  9292 
8.9189548 
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8.9x0  4087 
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8.921  8832 
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// 

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8.924  2122 
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8-9*5  783* 
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8.927  2244 
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8-9*7  *74° 
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8.9128611 

8.924  3^21 

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8.926  0071 
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8.926  0817 

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8-933  9441 
8-933  9685 

8.935  2366 

8-935  2609 
8-935  2853 
8-935  3096 
8-935  334° 
8-935  3583 
8.935  3827 
8-935  4°?o 
8-935  43H 

8.9366951 
8.936  7194 
8.936  7437 
8.936  7679 
8.936  7922 
8.936  8165 

8.936  8407 
8.936  8650 
8.936  8892 

8.938  1488 
8.938  1730 
8.938  t97i 
8.938  2213 
8.938  2455 
8.938  2697 

8.938  *939 
8,9383180 
8.938  3422 

8-939  5975 
8.939  6216 

8-939  6457 
8.939  6698 

8-939  6939 
8.9397180 

8.939  74« 
8-939  7062 
8-939  7903 

8.932  5252 

8-933  9929 

8-935  4557 

8.9369135 

8.938  3664 

8-939  8144 

8.932  5497 
8.932  5742 
8.932  5987 
8.932  6232 
8.932  6477 
8.932  6722 
8.932  6967 
8.932  7212 
8-93*  7457 

8.9340174 
8.9340418 
8.934  0662 
8.934  0906 
8.9341150 
8-934  '394 
8-934  1658 
8.934  1883 
8.934  2127 

8-935  48oo 
8-935  5044 
8-935  5287 
8-935  553° 
8-935  5774 
8-935  6017 
8.935  6260 
8-935  6504 
8-935  6747 

8.936  9378 
8.936  9620 
8.936  9863 

8.937  OI05 
8.937  0348 
8.937  0590 

8-937  0833 
8-937  *°75 
8.937  1318 

8.938  39°6 
8.938  4H7 
8-938  4389 
8.938  4631 
8.9384873 
8.9385114 
8.9385356 

8.9385597 
8.938  5839 

8.939  8385 
8.939  8626 
8.939  8867 
8.939  9*o8 
8-939  9349 
8-939  9589 
8.939  9830 
8.9400071 
8.9400312 

8.932  7702 

8-934  2371 

8-935  699° 

8-937  1560 

8.938  6081 

8.9400553 

8-93*  7947 
8.932  8191 
8.932  8436 
8.932  8681 
8.932  8926 
8.9329171 
8.9329416 
8.932  9660 
8.932  9905 

8.934  2615 
8.934  2859 
8.9343103 

8-934  33*7 
8-934  3591 
8-934  3»35 
8-934  4079 
8-9344323 
8-934  4567 

8-935  7*33 
8-935  7476 
8-935  7720 

8-935  7963 
8.935  8206 
8.035  8449 
8.935  8692 
8-935  8936 
8-935  9»79 

8-937  '802 
8.937  2045 
8-937  2287 

8-937  253° 
8-937  2772 
8-937  3°H 
8-937  3257 
8-937  3499 
8.937  3741 

8.938  6322 
8.938  6564 
8.938  6805 

8-938  7047 
8.938  7289 
8-938753° 

8-938  777* 
8.938  8013 
8.938  8255 

8.940  0794 
8.940  1034 
8.940  1275 
8.940  1516 

8-940  1757 
8.940  1997 

8.9402238 
8.940  2479 
8.9402719 

8.9330150 

8.9344811 

8-935  9422 

8-937  3983 

8.938  8496 

8.940  2960 

H 

5' 

4' 

3' 

2'   |    1*   1    0'   |  " 

cos  85° 


tang  4e 


287 


"  |   54' 

55'   |   56' 

57' 

68' 

69' 

M 

o 
i 

i 
3 

4- 

i 

7 
8 

9 
10 
ii 
ii 
'3 

17 
18 

19 

10 
21 

12 

*4 

*7 
18 

*9 

3* 
33 

34 

H 

11 

39 
40 

4* 
43 

44 

1 

49 

50 

5* 
53 
54 
55 
56 

12 

59 

60 

8.933  1340 

8.9346160 

8.936  0929 

8-937  5650 

8.9390311 

8.940  4944 

60 

59 
5* 
57 
56 
55 
54 

53 
5* 
5» 

50 

47 
46 
45 
44 
43 
4* 

40 

38 
37 
36 
35 
34 
33 
3* 
3' 

30 

al 

*7 
16 
*5 
*4 

*3 

21 
11 
1O 

'2 

18 

16 
15 
«4 

13 
ii 
ii 

10 

9 
8 

7 
6 
5 
4 

3 

2 
I 

O 

8-933  '5»8 
8-933  '835 
8.933  *o83 

8-933  *330 
8-933  *577 
8-933  *8*5 
8-933  307* 
8-933  33*9 
8-933  3567 

8.934  6406 
8.9346653 
8.934  6899 

8-934  7*46 
8-934  739* 
8-934  7639 

8.9347885 
8.9348132 

8-934  8378 

8.936  1175 
8.936  1411 
8.936  1667 
8.936  1911 
8.936  2158 
8.936  2404 
8.936  1649 
8.936  2895 
8.936  3141 

8-937  5895 
8-937  6x59 
8-937  6384 
8.937  6619 

8-937  6874 
8.9377119 

8-937  7364 
8-937  7609 
8-937  7853 

8.939  0565 
8-939  0809 
8-939  I053 
8-939  i*97 
8-939  *54» 
8-939  1785 
8.939  2029 
8-939  **73 
8-939  *5*7 

8.9405187 
8.940  5430 
8.940  5673 
8.940  5917 
8.940  6160 
8.940  6403 
8.940  6646 
8.940  6890 
8.9407133 

8.933  3814 

8.934  8625 

8.936  3386 

8-937  8098 

8-939  *76i 

8.9407376 

8-933  4061 
8-933  4308 
8-933  4556 
8-933  4803 
8-933  5050 
8-933  5*97 
8-933  5544 
8-933  579i 
8-933  6039 

8.9348871 
8.9349118 
8-934  9364 
8.934  9610 

8.9349857 
8.935  0103 

8.935  0349 
8.935  0596 
8-935  0841 

8.936  3632 
8.936  3877 
8.9364113 
8.936  4368 
8.936  4614 
8.936  4860 
8.9365105 

8-936535I 
8.936  5596 

8-937  8343 

8-937  8833 

8-937  9077 
8.937  93** 
8-937  9567 
8.9379811 
8.938  0056 
8.938  0301 

8-939  3005 
8-939  3*49 
8-939  3493 

8-939  3737 
8.939  3981 

8-939  4«5 
8.9394469 
8.9394713 
8-9394957 

8.9407619 
8.940  7862 
8.940  8105 
8.940  8349 
8.940  8591 
8.940  8835 
8.940  9078 
8.9409311 
8.9409564 

8.933  6286 

8.935  IQ88 

8.936  5842 

8.938  0545 

8-939  5*oo 

8.940  9807 

8-933  6533 
8.933  6780 

8-933  70*7 
8-933  7*74 
8-933  75*i 
8.933  7768 

8-933  8015 
8.933  8162 
8.933  8509 

8-935  1335 
8-935  »58i 
8.935  1827 

8.935  *074 
8-935  *3*o 
8-935  *566 
8.935  *8i* 
8-935  3058 
8-935  3305 

8.936  6087 
8.9366331 
8.936  6578 
8.936  6813 
8.936  7069 
8.9367314 
8.936  7560 
8.936  7805 
8.936  8050 

8.938  0790 
8.938  1035 
8.938  1179 
8.938  1514 
8.938  1769 
8.938  2013 
8.938  2258 
8.938  2502 
8.938  2747 

8-939  5444 
8.939  5688 

8-939  593* 
8.939  6176 
8.939  64*0 
8.939  6663 

8-939  6907 
8.9397151 

8-939  7395 

8.941  0050 
8.941  0293 
8.941  0536 

8.941  0779 
8.941  1011 
8.941  1265 
8.941  1508 
8.941  1751 
8.941  1994 

8.933  8756 

8-935  355i 

8.936  8196 

8.938  1991 

8-939  7638 

8.941  1237 

8.933  9003 
8.933  9150 
8-933  9497 

8-933  9744 
8-933  999« 
8.934  0238 

8-9340485 
8.934073* 
8-9340979 

8-935  3797 
8-935  4043 
8-935  4*89 

8-935  4535 
8-935  478i 
8.935  50*7 

8-935  5*74 
8-935  55*o 
8-935  5766 

8.936  8541 
8.936  8786 
8.9369031 
8.936  9177 
8.936  9511 
8.936  9767 

8.937  0013 
8.9370158 
8-937  0503 

8.9383*36 
8-938  3480 
8.938  3715 
8.938  3969 
8.938  4214 
$•9384458 
8.938  4703 
8.938  4947 
8.9385191 

8.9397882 
8.939  8126 
8-939  8369 
8.939  8613 
8.939  8857 
8.939  9100 

8-939  9344 
8-9399588 

8.9399831 

8.941  2480 
8.941  1711 
8.941  1965 
8.941  3208 
8.9413451 
8.941  3694 

8.941  3937 
8.941  4180 
8.941  4411 

8.934  1226 

8-935  6012 

8-937  0748 

8.938  5436 

8.9400075 

8.941  4665 

8-934  H7* 
8-934  1719 
8.934  1966 

8-934  *«3 
8.934  2460 
8.934  2706 

8-934  *953 
8-934  3*oo 
8-934  3447 

8.935  6258 
8-935  6504 
8-935  6750 
8-935  6996 
8-935  7*4* 
8-935  7488 

8-935  7733 
8-935  7979 
8-935  8225 

8-937  0994 
8-937  "39 
8-937  H84 
8-937  »7*9 
8-937  »974 
8-937  ***9 
8.937  *464 
8-937  *7°9 
8-937  *955 

8.938  5680 
8.938  5915 
8.938  6169 
8.938  6413 
8.938  6658 
8.938  6901 
8.938  7146 
8.938  7391 
8-938  7635 

8.9400318 
8.940  0562 
8.940  0805 
8.940  1049 
8.940  1292 
8.940  1536 
8.940  1779 
8.940  2023 
8.940  2166 

8.941  4908 
8.941  5151 
8.941  5393 
8.941  5636 
8.941  5879 
8.941  6111 
8.941  6364 
8.941  6607 
8.941  6849 

8-934  3693 

8-935  847  * 

8.937  3200 

8.938  7879 

8.9402510 

8.941  7091 

8-934  3940 
8.9344187 

8-934  4433 
8.934  4680 
8-934  49*7 
8.9345173 
8.934  5420 
8-934  5667 
8-934  59»3 

8-935  8717 
8-935  8963 
8-935  9*09 
8-935  9455 
8-935  9700 
8.935  9946 
8.9360192 
8.936  0438 
8.936  0684 

8-937  3445 
8-937  3690 
8-937  3935 
8.937  4180 
8-937  44*5 
8-937  4670 

8-937  49^5 
8.9375160 

8-937  5405 

8.9388113 
8.938  8368 
8.9388611 
8.938  8856 
8.938  9100 
8.938  9344 
8.938  9588 
8.938  9833 
8-939  0077 

8.940  2753 
8.940  2997 
8.940  3240 
8.940  3483 
8.940  3727 
8.940  3970 
8.9404214 
8.9404457 
8.940  4700 

8.941  7335 
8-941  7577 
8.941  7820 

8.941  8063 
8.941  8305 
8.941  8548 
8.941  8790 
8.941  9033 
8.941  9275 

8.934  6160 

8.936  0929 

8.937  5650 

8-939  03*1 

8.9404944 

8.9419518 

" 

5' 

4' 

3' 

2' 

I'   |    0' 

" 

cotg  85* 


288 


LENGTH  OF  CIRCULAR  ARCS  FOR  THE  RADIUS  1. 


DEQUES. 

IUWTBS. 

8XCONDS. 

0° 

o.ooooooo 

60° 

z.047  *97* 

120° 

2.0943951 

0* 

aooooooo 

0* 

0.0000000 

Z 

a 
3 
4 

i 

I 

9 

O.OZ7  4533 
0.034  9066 
0-05*  3599 
0.069  8132 
0.087  2665 
0.104  7198 

O.I22  1730 
0.139  6*63 

0.157  0798 

61 
62 
63 
64 

11 

ii 
69 

1.064  6508 
1.082  1041 
1-099  5574 
1.1170107 
1.1344640 
1.151  9173 
1.169  3706 
1.186  8239 
1.204  2772 

Z2Z 

122 
Z23 
124 

"i 
126 

"Z 

128 
129 

2.1  1  1  8484 
2.1  20  3017 
2.146  7550 

2.164  *083 

2.181  6610 

2.199  1149 
2.2l6  5682 
2.234  O2I4 

2.251  4747 

I 
* 
3 

4 

{ 
1 

9 

0.0002909 
00005818 
0.000  8727 
o.ooi  1636 
0.001  4544 
0.001  7453 
o.ooi  0362 

0.001  4271 
0.0026180 

I 

2 

3 

4 

i 

5 

9 

0.0000048 
0.0000097 
o.ooo  0145 

0.0000194 
o.ooo  0242 
o.ooo  0291 
0.000  0330 
0.000038$ 
o.ooo  0436 

10 
ii 

12 

13 
14 

:i 
;j 

*9 
to 

0.17453*9 

70 

1.221  7305 

130 

2.268  9280 

10 

o.ooa  9089 

10 

0.0000485 

0.191  9862 
0.2004395 
0.226  8928 

0.244  346i 
0.261  7994 
0.279  *5*7 
0.296  7060 

0-314  1593 
0.331  6126 

7* 
7* 
73 
74 

7I 
76 

n 
?8 

79 

1.239  "838 
1.256  6371 
1.2740904 
1.291  5436 
1.3089969 
1.326  4502 

1-343  9035 
1.361  3568 
1.378  BIOI 

131 
132 
133 
134 

I32 
i36 

137 
i38 
139 

2.286  3813 
2.303  8346 
2.321  2879 
2.338  7412 
2.356  1945 
2.373  6478 
2.391  ion 
2408  5544 
2426  0077 

ii 

12 
13 

14 
15 
ID 

ll 

18 
19 

0.003  J998 
0.0034007 
0.003  7815 
0.0040724 
0.004  3633 
0.004  6542 
0.0049451 
0.005  2360 
0.005  5269 

n 

12 
13 
H 

ll 

\l 

19 

o.ooo  0533 
0.0000582 
0,0000630 
o.ooo  0679 
o.ooo  0727 
0.0000776 
0.0000824 
o.ooo  0873 
o.ooo  0921 

0.3490659 

80 

1.396  2634 

140 

2443  4610 

20 

0.005  8178 

20 

o.ooo  0970 

21 
22 
23 

H 

2 

2 

29 

0.3665191 
0.383  9724 
0401  4257 
0.418  8790 
0436  3321 
0453  7856 
0471  2389 
0.488  6922 
0.506  1455 

ii 

82 
83 

H 

87 

88 
89 

1413  7167 
1431  1700 
1448  6233 
1466  0766 

1-483  5*99 
1.5009832 

1-518  4364 
1.535  8897 
1.553  3430 

141 
142 

143 
144 

146 

I4Z 
148 

149 

2460  9142 

M78  3675 
2  495  8208 

2.513  2741 
2.5307274 
2.548  1807 

2.565  6340 
1.583  0873 
2.600  5406 

21 
22 
*3 
*4 

II 

3 

29 

0.006  1087 
0.006  3995 
0.006  6904 
0.006  9813 

0.007  *7** 
0.0075631 
0.007  8540 
0.008  1449 
0.008  4358 

21 
22 
23 

*4 
»5 
26 

3 

*9 

o.ooo  1018 
o.ooo  1067 
0.0001115 
o.ooo  1164 

0.000  1212 

o.ooo  1261 
o.ooo  1309 
oxioo  1357 
0.0001406 

30 

0.523  5988 

90 

1.570  7963 

150 

2.617  9939 

30 

0.008  7266 

30 

o.ooo  1454 

3» 

3* 
33 
34 

H 

3Z 

38 
39 

0.541  0521 
o-SS*  5054 
o-575  95»7 
0.5934119 
0.6108652 
0.6283185 

0.645  77^8 
0.663  2251 
0.680  6784 

9» 
92 

93 
94 
95 
96 

9Z 
98 

99 

1.588  2496 
1.605  7°*9 
1.623  1562 

1.658  0628 
1.675  5*61 
1.692  9694 
1.7104227 
1.727  8760 

151 
154 
153 
154 

I5I 
156 

I5Z 
158 

159 

2.635  4472 
2.652  9005 
1-670  3538 
2.687  8070 
2.705  2603 
2.722  7136 
2.740  1669 
2.757  6*02 
i-775  0735 

3i 
3* 
33 
34 

i* 

3Z 

38 

39 

0.009  0175 
0.009  3084 
0.009  5993 
0.009  8902 

O.OIOI8II 

o.oio  4720 
0.010  7629 
0.011  0538 
0.011  3446 

31 
3* 
33 
34 

P 
ll 

39 

0.000  1503 
o.ooo  1551 
0.0001600 

0.000  1648 
o.ooo  1697 
0.000  1745 
o.ooo  1794 
o.ooo  1842 
o.ooo  1891 

40 

0.698  1317 

100 

1-745  3*93 

1  60 

2.792  5268 

40 

o.on  6355 

40 

o.ooo  1939 

4i 
4* 
43 
44 
45 
46 

4Z 

4& 
49 

0.715  5850 

0-733  0383 
0.7504916 

0.767  9449 
0.785  3982 
0.8028515 
0.820  3047 
0.837  758o 
0.855  2II3 

101 
102 
103 

104 

l<% 
100 

107 
108 
109 

1.762  7825 
1.780  2358 
1.797  6891 

1.815  1424 

1.83*  5957 
1.8500490 

1.867  5023 
1.8849556 
1.902  4089 

161 

162 

163 

164 

165 

1  66 
167 
168 
169 

2.809  9801 
2.827  4334 
2.844  8867 
2.862  3400 
2.879  7933 
2.897  H66 
2.9146999 
2.932  1531 
2.949  6064 

4i 

42 

43 
44 

4! 
46 

4Z 

48 

49 

o.on  9264 

O.OI2  2173 
O.OI2  5082 
O.OI2  7991 

0.013  °900 
0.013  3809 

0.013  67f7 
0.013  9626 
0.014  *535 

4i 
42 

43 
44 

S 

4Z 
48 

49 

o.oco  1988 
o.ooo  2036 
o.ooo  2085 
0.0002133 

0.000  2152 

o.ooo  2230 

o.ooo  2279 
o.ooo  2327 
0.000  2376 

5° 

0.872  6646 

no 

1.919  8622 

170 

2.9670597 

5° 

0.014  5444 

So 

o.ooo  1424 

5i 
5* 
53 
54 

II 

3 

59 

0.8901179 
0.907  5712 
0.925  0245 

0.942  4778 
0-959  93" 
0-977  3844 
0.994  8377 
1.0122910 
1.029  7443 

III 

112 

"3 
"4 

"! 
in 

"Z 
III 

"9 

1-937  3i§5 
1.9547688 

1.972  2221 
1.989  6753 
2.007  1286 
2.024  5819 
2.042  O352 
2.059  4885 
2.076  9418 

171 

172 
173 
174 

I7I 
176 

177 
178 
179 

2.9845130 
3.001  9663 
3.019  4196 
3.036  8729 
3.054  3262 
3.071  7795 
3.089  2328 
3.106  6861 
3.124  1394 

5i 

5* 
53 
54 

S 

ll 

59 

0.014  8353 
0.015  1262 
0.015  41?! 
0.015  7080 
0.015  9989 
o.o  1  6  2897 
0.01  6  5806 
o.o  1  6  8715 
0.017  i624 

5« 

5* 
53 
54 

ll 
11 

59 

o.ooo  2473 
o.ooo  2521 
o.ooo  2570 

o.ooo  2618 
o.ooo  2666 
0.0002715 

0^x02763 
0.0002812 
o.ooo  2860 

60 

z.047  1976 

120 

2.0943951 

1  80 

3-i4i  59*7 

60 

0.0174533 

60 

0.0002909 

Ill 

LOGARITHMS 

OF  THE  TRIGONOMETRICAL 

FUNCTIONS 

FROM  TEN  TO  TEN  SECONDS 


290 


0° 


/ 

n 

Sin 

1  "• 

Tang 

d.  c. 

Cotg 

Co* 

n 

I 

0 

0 

O.OOOOOOO 

O 

60 

10 

10 

30 
40 
50 

5.685  5749 
5.986  6049 
6.1626961 
6.287  6349 
6.384  5449 

3010300 
1760912 
1249388 
969100 
701812 

5.685  5749 
5.986  6049 
6.162  6961 
6.287  6349 
6.384  5449 

3010300 
1760912 
1249388 
969100 
701812 

4.3144251 
4.013  3951 
3.837  3039 
3.71*3651 
3-6i5455* 

o.ooo  oooo 

O.OOOOOOO 
O.OOOOOOO 
0.0000000 
O.OOOOOOO 

50 
40 
30 
2O 

IO 

1 

0 

6463  7261 

669468 

6463  7261 

660468 

3.536  2739 

0.0000000 

o 

59 

10 
20 
30 
40 
JO 

6.550  6720 
6.588  6648 
6.6398174 
6.685  5748 
6.726  9675 

5799*9 
511526 

457574 
413027 

477886 

6.530  6729 
6.588  6649 
6-659  8174 

ti  57A 
6.726  9676 

579920 
***5*5 

457575 
413027 
177886 

3-469  3*7* 
3-4**  335* 
3.360  1826 

3-3*44*5* 
3.273  0324 

0.0000000 

o.ooooooo 

O.OOOOOOO 

9-999  9999 
9-999  9999 

50 
40 
30 

20 
10 

2 

o 

6.764  7561 

347621 

6.764  7562 

747621 

3.235  2438 

9.909  9999 

O 

58 

IO 

10 

30 

40 
50 

6.7995182 
6.83  1  7029 
6.861  6661 
6.889  6948 
6.916  0237 

321847 
299632 
280287 
267189 

Hn\9 

6.7995183 
6.831  7030 

6.86  1  6662 
6.889  6949 
6.9160239 

321847 
209632 
280287 
265290 

HS276 

3.2004817 
3.168  2970 
3-*383338 
3.1103051 
3.083  9761 

9-999  9999 
9-999  9999 
9  999  9999 
9-999  9999 
9  999  9999 

50 
40 
30 
2O 
IO 

3 

o 

6.940  8473 

jidSn 

6.940  8475 

3-°59  *5*5 

9-999  9998 

o 

57 

IO 

10 

30 
40 

50 

7.007  7941 

7-o»7  9975 
7.047  3026 

222764 
211893 

202034 

103051 

184.874. 

6.964  3286 
6.986  6050 
7.007  7943 

7-0*7  9977 
7.047  3029 

222764 

211893 

202034 

103052 

184834 

3.035  6714 

3-0*3  3950 
2.992  2057 
2.972  0023 
2.952  6971 

9-999  9998 
9-999  9998 
9-999  9998 
9-999  9998 
9-999  9997 

50 
40 
30 

20 

IO 

4 

o 

7.065  7860 

177288 

7.065  7863 

177288 

2.934  2137 

9-999  9997 

0 

56 

IO 

20 

30 
40 

5° 

7.083  5148 
7.100  5481 
7.1169385 
7.1327328 

7.147  9727 

170333 
163904 
157943 
15*399 

147233 

7.083  5151 
7.100  5484 
7.1169389 
7.1327332 
7.147  9732 

170333 
163905 
157943 

152400 
147212 

2.9164849 
2.8994516 
2.883  °6** 
2.867  *668 
2.852  0268 

9.999  9997 
9-999  9997 
9-999  9996 
9-999  9996 
9-999  9996 

5° 
40 
30 
20 

10 

5 

o 

7.1626960 

142404 

7.162  6964 

142405 

2.837  3036 

9-999  9995 

o 

55 

10 
10 

30 

40 

50 

7.176  9364 
7.1907247 
7.204  0886 
7.217  0536 
7.229  6427 

137883 
133639 

129650 
125891 

I  2  21.14. 

7.176  9369 
7.1907252 
7.204  0892 
7.217  0542 
7.229  6433 

137883 
133640 
129650 
125891 

2.8230631 
2.809  2748 
2.705  9108 
2.782  9458 
2.770  3567 

9-999  9995 
9-999  9995 
9-999  9994 
9-999  9994 
9-999  9994 

50 
40 
30 

20 

10 

6 

o 

7.241  8771 

118003 

7.241  8778 

2.758  1222 

9-999  9993 

o 

54 

10 
20 
30 
40 

5° 

7.253  7764 
7.265  3582 
7.276  6392 
7.287  6346 
7.298  3584 

II58l8 
II28IO 
109954 
107X38 
IO46<C 

7-*53  777« 
7.265  3590 
7.276  6400 
7.287  6354 
7.298  3593 

115819 
112810 

109954 
107239 

IOAB(( 

2.746  2229 
1-734  6410 
».723  3600 
2.712  3646 
2.701  6407 

9-999  9993 
9-999  9993 
9-999  999* 
9-999  999* 
9-999999* 

50 
40 
30 

20 
10 

7 

0 

7.308  8239 

102191 

7.308  8248 

IO2I92 

2.691  1752 

9-999999* 

O 

53 

IO 

20 

30 
40 
50 

7.319  0430 
7.329  0271 
7.338  7870 
7.348  3323 
7-357  6713 

99842 
97598 

95453 
93400 

OId.74. 

7.3190440 
7,329  0282 
7.338  7881 
7.348  3334 
7-357  6735 

99842 

97599 
95453 
93401 

2.680  9560 
2.6709718 

2.66  1  2119 
2.651  6666 
2.642  3265 

9-999  999* 
9-999  9990 
9-999  9990 
9-999  9989 
9  999  9989 

50 
40 
30 
2O 
IO 

8 

o 

7-366  8157 

8Qi;48 

7.366  8169 

2.633  1831 

9-999  9988 

o 

52 

IO 

20 

30 
40 

5° 

7-375  77°5 
7.384  5444 
7.393  1446 
7.401  5778 
7.409  8503 

87739 
86002 

84331 
82725 
81178 

7-375  77»8 
7-384  5457 
7-393  H59 
7.401  5791 
7.409  8517 

f7739 
86002 

8433* 
82726 

2.624  2182 
2.615  4543 
2.606  8541 
2.598  4209 
2.590  1483 

9-999  9988 
9-999  9987 
9-999  9987 
9-999  9986 
9  999  9986 

50 
40 

3° 

20 
IO 

9 

0 

74179681 

7-4*7  9696 

2.582  0304 

9.909  9985 

O 

51 

IO 

IO 

30 
40 
50 

7425  9370 

7-433  7624 
7.441  4492 
7.449  0023 
7456  4263 

78254 
76868 

75531 
74240 

7.425  9386 

7-433  7640 
7.441  4508 
7.4490040 
7.456  4281 

78254 
76868 
7553* 
74*41 

2.5740614 
2.566  2360 
1.558  5492 
2.550  9960 
*-543  57*9 

9.999  9985 
9.999  9984 
9-999  99f3 
9-999  9983 
9-999  998* 

50 
40 
30 

20 

10 

10 

o 

7.4637255 

7-463  7*73 

2.536  2717 

9-999  998i 

o 

50 

i 

« 

Cos 

<L 

Cotg 

d.  c. 

Tang 

Sin 

n 

* 

89< 


0° 


291 


t 

it 

Sin 

<L 

Tang 

d.  c. 

Cotg 

Coa 

a 

1 

10 

0 

7-463  7*55 

71786 

7-463  7*73 

71787 

1.536  17*7 

9-999  998* 

o 

50 

IO 

10 

30 

40 
50 

74709041 

7477  9659 
7.4849147 

7491  7541 
7498  4875 

70618 
69488 

68394 

J7334 
66306 

74709060 

7477  9679 
74849168 
7491  7561 
7498  4897 

70619 

69489 
68394 

SP& 
66306 

1.5190940 
1.5110311 
1.5150831 
1.508  1438 
1.501  5103 

9.9999981 
9-999  998o 
9-999998o 

9-999  9979 
9.999  9978 

50 
40 
30 

10 
IO 

11 

o 

7.505  1181 

6«o8 

7.505  1103 

6«1OQ 

*494  8797 

9.999  9978 

o 

49 

10 

10 

30 
40 
50 

7.5  ix  6489 
7.5180830 
7.5144131 
7.530  6711 
7.536  8314 

64341 
63401 
61490 
61603 

6074.1 

7.511  6511 
7.5180854 
7.5144156 
7.5306746 
7.536  8349 

64341 

63401 
61490 
61603 
60741 

1488  3488 
1481  9146 

*475  5744 
1469  3154 
1463  1651 

9.999  9977 
9-999  9976 
9-999  9976 
9-999  9975 
9-999  9974 

50 
40 
30 

IO 
IO 

12 

o 

7.541  9065 

CQOO7 

7.541  9091 

<OQO4 

14570909 

9-999  9974 

0 

48 

IO 
10 

3° 
40 
50 

7.548  8968 
7-554  8057 
7.5606351 
7.566  3875 
7.5710646 

58195 

575*3 
56771 
560)8 

7.548  8995 
7.554  8084 
7.5606380 
7-566  3904 
7.5710676 

575*4 
56771 
56070 

1451  1005 
1445  1916 
a-439  36*0 
1.433  6096 
1.417  9314 

9-999  9973 
9  999  997* 
9-999  997i 
9-999  9971 
9-999  9970 

56 
40 
30 
10 

IO 

13 

0 

7.577  6684 

CCiie 

7.577  6715 

«<7l6 

1411  3185 

9.999  9969 

o 

47 

IO 

10 

30 

4° 
5° 

7.583  1000 
7.588  6638 
7.5940588 

7-599  3876 
7.6046518 

54619 

5395° 
53188 

51641 
51011 

7.583  1041 
7.588  6670 
7.5940611 

7-599  391° 
7.604  6553 

546*9 
53951 
53189 
51643 

{ioi3 

1416  7959 
1411  3330 
1405  9379 
14006090 
*-395  3447 

9-999  9968 
9-999  9967 
9-999  9967 
9-999  9966 
9-999  9965 

50 
40 
30 

IO 
IO 

14 

o 

7.609  8530 

CI2Q6 

7.609  8566 

czao'9 

1.390  1434 

9.999  9964 

0 

46 

IO 
IO 

30 
40 
50 

7.614  9926 
7.6100711 
7.615  0918 
7.6300561 
7.634  9635 

50795 
50107 
49634 

49073 
48515 

7.6149967 
7.6100758 
7.615  0967 
7.630  0601 
7.634  9676 

50795 
50109 

49635 
49074 
48515 

1.385  0037 
*-379  9*4* 
1.3749033 
*-349  939* 

1.365  0314 

9-999  9963 
9-999  996* 
9-999  996i 
9-999  996o 
9-999  996o 

50 
40 
30 

IO 
IO 

15 

o 

7.6398160 

47989 

7.639  8101 

4799° 

1.360  1799 

9-999  9959 

o 

45 

IO 
10 

30 
40 
50 

7.6446149 
7.649  3613 
7.6540563 
7.658  7011 
7.663  1969 

47464 
46950 

46449 

45957 

45476 

7.644  6191 
7.649  3656 
7.654  0608 
7.658  7057 
7.663  3015 

47465 
46951 
46449 

4595* 

4.C477 

*-355  3809 
1.350  6344 

*-345  939* 
1.341  1943 
1.336  6985 

9.999  9958 
9-999  9957 
9-999  9956 
9-999  9955 
9  999  9954 

50 

40 
30 

IO 
IO 

16 

0 

7.667  8445 

ASOOC 

7.667  8491 

4COO6 

1.331  1508 

9-999  9953 

0 

44 

10 
10 

30 
40 

50 

7.671  3450 
7.676  7993 
7.681  1084 
7.685  5731 
7.6898945 

44543 
44091 
43648 
43115 
41788 

7.671  3498 
7.676  8041 
7.681  1134 
7.685  5783 
7.689  8997 

44544 
44091 
43649 

43**4 
4.1780 

1.317  6501 
1.313  1058 
1.3187866 
1.3144117 
1.310  1003 

9-999  995* 
9.9999951 

9-999  9950 
9-999  9949 
9-999  9948 

50 

40 
30 

20 

IO 

17 

o 

7.694  1733 

41170 

7.694  1786 

4.17.71 

1.305  8114 

9-999  9947 

o 

43 

IO 
10 

30 
40 

50 

7.698  4103 
7.701  6064 
7.706  7613 
7.7108788 
7.714  9567 

41961 

41559 
41165 

40779 
40100 

7.698  4157 
7.701  6  1  19 
7.706  7679 
7.710  8846 
7.714  9615 

41961 
41560 
41167 

40779 

AOdOI 

1.301  5843 
1.197  3881 
1.103  *3« 
1.189  "54 
1.185  0375 

9.999  9946 
9-999  9945 
9  999  9944 
9-999  9943 
9-999  994* 

5° 

40 
30 

IO 
IO 

18 

o 

7.718  9966 

40017 

7.719  0016 

4OOl8 

1.1809974 

9-999  994° 

o 

42 

IO 

IO 

30 

4° 

50 

7.711  9093 
7.716  0655 
7.730  8957 

7-734  79°8 
7.7386511 

39661 
30301 
38951 
38603 
38164 

7.713  0054 
7.716  9717 
7.7309010 

7-734  797* 
7.738  6577 

39663 
39303 
38951 
38605 
78l6d 

1.176  9946 
1.173  0*83 
1.169  0980 
1.165  zo*8 
2.261  3413 

9-999  9939 
9-999  993s 
9-999  9937 
9-999  9936 
9-9999935 

50 
40 
30 

IO 
IO 

19 

o 

7-74*  4775 

77010 

7.741  4841 

77O7I 

1.1575159 

9-999  9934 

o 

41 

10 
IO 

30 
40 

50 

7.746  1705 
7.750  0306 
7-753  7584 
7-7574545 
7.761  1194 

37601 

37i78 
36961 

36649 

16747 

7.746  1771 
7.7500374 

7-753  7054 
7.7574616 
7.761  1166 

37601 

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36650 

76744 

1.153  7118 
1.149  96*6 
1.146  1346 

1.14*  5384 
1.138  8734 

9-9999933 
9-999  993^ 
9-999  993° 
9-999  99*9 
9-999  99*8 

50 
40 
30 

IO 
IO 

20 

0 

7-7647537 

7.764  7610 

1.135  *39° 

9-999  99*7 

0 

40 

i 

II 

Cos 

d. 

Cotg 

d. 

Tang 

Sin 

II 

t 

89< 


292 


0° 


1 

r» 

Sin 

A 

Tang 

d.c. 

Cotg 

Cos 

n 

1 

20 
21 
22 
23 
24 
25 
26 
27 
28 
29 
30 

0 
IO 

ao 
30 
40 

50 

0 
10 

*o 

3° 
40 

5° 
o 

10 
20 
30 
40 
50 
O 
IO 
ao 

3° 

40 
50 

o 

10 

ao 
30 
40 
50 
o 

IO 
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30 
40 
50 

7.7647537 

9604O 

7.7647610 

36041 
35746 

35453 
35«7 
34884 
34606 

34333 
34065 
33798 
33538 
33280 

330*7 
3*778 

3*533 
32290 
32053 
31817 
31586 

31358 
31134 
30911 

30478 
30265 

30056 
29850 
19646 
19444 

29247 
29051 

28858 

28667 
28480 
28294 
28110 
27930 
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27060 
26892 

26727 
26564 
26402 
26241 
26085 
25930 

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253*5 
25178 
25032 

24889 

24748 
24607 
14469 

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2.235  *39o 

9-99999*7 

o 

SO 
40 
30 
ao 

IO 

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50 
40 
30 

20 
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50 

40 

30 

ao 

IO 

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5° 
40 
30 

20 
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50 
40 
30 

20 
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40 
30 
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50 
40 
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20 
to 

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50 
40 
30 

20 

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50 

40 
30 

20 

10 

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50 
40 
30 

20 

IO 
0 

40 
39 
38 
37 
36 
35 
34 
33 
32 
31 
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7-768  3577 
7.771  9311 
7-775  4774 
7-77*  9939 
7.781  4822 

35745 
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35jf5 
34883 
34605 

34111 

7.768  3652 
7.771  9198 

7-775  4»5  * 
7.7790018 
7.7824902 

2.231  6348 
1.2280602 
2.2245149 

2.220  9982 
2.217  5098 

9-999  99*5 
9-99999*4 
9-999  99*3 
9.999  9922 

9.99999*0 

7.785  9427 

7.785  9508 

1.2140492 

9-999  99*9 

7.7803758 
7.79a  7&ao 
7.796  1617 

7-799  5»53 
7.802  8431 

34062 
33797 
33536 
33*79 
33016 

12777 

7.789  3841 
7.792  7904 
7.796  1702 

7-799  5*40 
7.802  8520 

2.2I06I59 
2.207  2096 
2.2O3  8298 
2.2004760 
2.197  1480 

9.9999918 
9-999  99i6 
9-999  99»5 
9-999  99H 
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7.806  1458 

7.806  1547 

2.193  8453 

9.9999911 

78094*35 
7.812  6766 
7.815  9055 
7.819  1106 
7.811  1911 

3*531 
32289 
32051 
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3*357 
31132 
30010 
30692 
30476 
30264 

100  ii 

7-80943*5 
7.812  6858 
7.815  9148 

7.819  I2OI 
7.822  3018 

2.100  5675 

2.187  3'4* 
2.1840852 
1.180  8799 
2.1776982 

9-999  99^0 
9.9999908 

9-999  9907 
9.9999906 

9-999  9904 

7.825  4507 

7.825  4604 

2.174  5396 

9.9999903 

7.818  5864 
7.831  6996 
7.8347906 
7.8378598 
7.840  9074 

7.828  5962 
7.831  7096 
7.834  8007 
7.837  8701 
7.8409179 

2.171  4038 
2.168  2904 
2.165  1993 
2.162  1299 
2.159  °8*i 

9.9999901 
9.9999900 
9.999  9899 
9.9999897 
9.9999896 

7-*43  9338 

7-8439444 

2.156  0556 

9-9999894 

7-8469393 

t-tyffi1 

7.851  8885 

7-855  8349 

7.858  7574 

29848 
29644 

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29245 
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7.846  9500 

7.849  9350 
7.852  8996 
7.f55  8*40 
7.8587687 

2.153  ow 
2.1500650 
2.147  I004 
2.144  1560 
2.141  2313 

9-999  9893 
9.999  9891 

9-999  9890 
9.999  9888 
9-999  9887 

7.861  6613 

18856 

7.86l  6738 

2.138  3261 

9-9999885 

7.864  5479 
7.8674145 
7.870  2623 
7.873  0916 
7.875  9025 

28666 
28478 
28293 
28109 

17018 

7.8645506 
7.867  4263 
7.870  2743 
7-873  »37 
7.875  9147 

1.1354404 
1.132  5737 
2.129  7*57 
2.126  8963 
2.1140853 

9.9999884 
9.999  9882 
9.9999881 
9.9999879 
9-999  9877 

o 

7.878  6953 

277  <O 

7.878  7077 

2.I2I  2923 

9.9999876 

to 
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1.802  5058 
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1.799  8410 
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8.594  1831 

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1405  7168 

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8.5944858 
8-595  0187 

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8.596  0865 

8.596  6195 

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8.594  8196 

8-595  3553 
8.595  8904 
8.596  4148 
8.596  9586 

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1.405  1804 
1.404  6447 
1404  1096 
1403  5751 
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9.999  6641 

9-999  6634 
9.999  6616 
9-999  6617 
9-999  6609 

8 

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8.5971517 

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8-597  4917 

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1.4015083 

9  999  6601 

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8.598  *H1 
8.598  744* 

8-599  *743 
8-599  8033 

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8.598  0141 

8.599  0871 

8  599  617* 

8.600  1475 

5318 
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1401  9759 
1401  4441 
1400  9119 
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1-399  »5*5 

9  999  659* 
9-999  6584 
9-999  65?6 
9.999  6567 

9-999  6559 

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8.600  6767 

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8.601  9640 

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8.601  7331 
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1-398  7947 
1.398  1668 

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1.397  1118 
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8.603  8386 

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1.396  1614 

9.999  6500 

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8.6045357 
8.605  0584 
8.605  5804 

8.606  1018 

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8.604  8875 
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1.395  6367 

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1.393  0113 

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1.391  5013 
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1.386  1075 
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8.619  4425 
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8.620  3151 
8.610  8304 
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1.380  1808 
1.379  6749 
1.370  1696 

1.378  6649 

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8.621  9616 

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8.612  3417 

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1-377  6573 

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8.6224637 
8.612  9652 
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8.611  8457 
8.613  348o 
8.613  8498 
8.614  35" 
8.6248517 

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1-377  1543 
1.376  6510 
1.376  1501 
1.375  6489 
1.375  1483 

9.999  6180 
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1.374  6481 

9.999  6136 

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8.625  4639 
8.615  9620 
8.626  4594 
8.616  9563 
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8.6258513 
8.616  3501 
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8.617  3463 
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1.374  1487 

1-373  6498 
1.373  1515 
1.3716537 
1.371  1565 

9-999  6117 
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8.627  9484 

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1.371  6598 

9.999  6082 

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20 
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8.629  9258 
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8.618  8361 
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1.371  1637 
1.370  6682 
1.370  1712 
1.369  6789 
1.369  1850 

9.9996073 
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1.368  1990 
1.367  7069 
1.367  1151 
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1.365  2543 
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9-999  5965 
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8.637  2616 
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8.637  6706 
8.6381562 
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1.362  3294 
1.361  8438 
1.3613588 
1.3608743 
1.3603903 

9-999  59^0 
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8.639  6796 

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1.359  9069 

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8.6400931 

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1.358  9416 
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8.642  5634 

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1.3570175 

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1.356  5378 
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1.353  6706 
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1.3508221 
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8.653  9107 

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1.331  3873 
'•3309350 
1.3304831 
1-3300117 
1.329  5808 

9-999  5*85 
9-999  5*75 
9-999  5*65 
9  999  5*55 
9  999  5*45 

IO 
10 
IO 
10 

50 

40 

3° 

10 
10 

41 

o 

8.670  3932 

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8.670  8697 

4COO 

1.329  1303 

9  999  5*36 

IO 

o 

19 

10 

20 

30 
40 
50 

8.670  8412 
8.671  2908 
8.671  7189 
8.672  1865 
8.672  6337 

4486 
4481 
4476 

447* 

A467 

8.671  3197 
8.671  7692 
8.672  2183 
8.672  6669 
8.673  1151 

4495 
4401 
4486 
4482 

Alt-It 

1.328  6803 
1.328  2108 
1.3*77817 

1-3*73331 
1.326  8849 

9-999  5**6 
9  999  5*i6 
9  999  5*o6 
9-9995I96 
9-999  5i86 

10 
IO 
IO 
IO 
IO 

50 
40 
30 

20 

IO 

42 

o 

8.673  0804 

44.62 

8.673  5628 

44.72 

1.3264372 

9  999  Si?6 

IO 

o 

18 

10 
10 

30 
40 
50 

8.673  5*66 
8.673  97*4 
8.6744177 
8.674  8626 
8.675  3070 

445* 
4453 
4449 
4444 

AAAO 

8.674  oioo 

8.674  4568 
8.6749031 
8.675  3490 

8-675  7944 

4468 
4+63 

4459 
4454 

444Q 

1.325  9900 
1-3*5  543* 
1-3*5  0969 
1.3246510 
1.324  2056 

9.9995166 
9.999  5156 
99995146 
9-999  5136 
99995«6 

IO 
IO 
IO 
IO 
IO 

50 

40 
30 

IO 
IO 

43 

o 

8.675  75io 

441  c 

8.676  2393 

4446 

1.323  7607 

9.9995"6 

IO 

o 

17 

IO 
20 
30 
40 

5° 

8.676  1945 
8.676  6175 
8.677  0*0* 
8.677  5143 
8.677  9640 

4430 
4426 
4422 
4417 

4411 

8.676  6839 
8.677  1279 

8.677  5715 
8.678  0147 

8.6784573 

4440 
4436 

443* 
44*6 
4421 

1-3*33161 
1.3228721 
1.3224285 

1-3*1  9853 
1.321  5427 

9-999  5106 
9-999  5096 
9-999  5086 
9-999  5076 
9  999  5066 

IO 
IO 
IO 
10 
IO 

5° 

40 
30 

20 
10 

44 

o 

8.678  4052 

44O8 

8.678  8996 

44l8 

1.321  1004 

9-999  5056 

IO 

o 

16 

IO 

20 

30 
40 
5° 

8.678  8460 
8.679  l864 
8.679  7»63 
8.680  16.57 
8.680  6047 

4404 

4399 
4394 
4300 
43*6 

8-679  34H 
8.679  78*8 
8.680  2237 
8.6806641 
8.681  1042 

4414 
4409 
4404 
4401 
4395 

1.3206586 
1.3202172 
1-3197763 
1-319  3359 
1.3188958 

9-999  5046 
9-999  5036 
9.999  5026 
9.999  5016 
9-999  5006 

10 
IO 
IO 
IO 
IO 

50 

40 
30 

IO 
IO 

45 

0 

8.68  1  0433 

4381 

8.681  5437 

439* 

1.3184563 

9-999  4996 

10 

o 

15 

10 
20 

3° 

40 

5° 

8.6814814 
8.681  9191 
8.682  3563 
8.682  7931 
8.683  2295 

4377 

43?2 
4368 

4364 
41  «q 

8.681  9829 
8.6824216 
8.682  8598 
8.683  2976 
8.683  7350 

4387 
438i 
4378 

4374 
4-5  6q 

1.3180171 

1-3175784 
1.317  1402 
1.316  7024 
1.316  2650 

9.9994986 
9  999  4975 
9  999  4965 
9-9994955 
9-999  4945 

II 

IO 
IO 
10 
IO 

50 
40 
30 

20 

10 

46 

0 

8.683  6^54 

41  C( 

8.684  1719 

4l6c 

1.3158281 

9-999  4935 

IO 

o 

14 

10 

20 

30 

4° 
5° 

8.684  IO09 
8.6845359 
8.684  9706 
8.685  4°47 
8.685  8385 

4350 
4347 
4341 
4338 
4111 

8.684  6084 
8.685  0445 
8.685  4801 
8.685  9153 
8.686  3501 

4361 
4356 

435* 
4348 

4141 

1.3153916 
1-3149555 
13H5199 
1-3140847 
1.3136499 

9-999  49*5 
9  999  4914 
9.9994004 

9-999  4«94 
9-999  4884 

II 

IO 
IO 
10 
IO 

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40 
30 

IO 
IO 

47 

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8.686  2718 

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8.686  7844 

411Q 

1.3131156 

9-9994874 

II 

o 

13 

10 

20 

30 

4° 
5° 

8.686  7046 
8.687  1371 
8.687  569* 
8.688  0007 
8.6884318 

43*5 
43*o 
4316 

43" 

4307 

8.687  Il83 
8.6876518 
8.688  0848 
8.6885174 
8.688  9496 

4335 
4330 
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1.3127817 
1.311  3481 
1.3119152 
1.311  4826 
1.311  0504 

9-999  4863 

9  999  4«53 
9.9994843 

9  999  4833 
9.9994811 

IO 
IO 
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II 

IO 

50 
40 
30 

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10 

48 

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8.688  8625 

4.101 

8.6893813 

4111 

1.3106187 

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o 

12 

10 

00 

30 

4° 
5° 

8.689  *9*8 
8.689  7227 
8.690  1511 
8.690  5811 
8.691  0097 

4*99 
4*94 
4200 
4286 
4282 

8.689  8126 
8.690  H35 
8.690  6740 
8.691  1041 
8.691  5337 

4309 
4305 
4301 

4*96 
42Q2 

1.310  1874 
1.309  7565 
1.309  1260 
1.308  8959 
1.3084663 

9-999  4801 
9-9994791 
9-999  4781 
9-999  4771 
9-999  476o 

II 

IO 
IO 

II 

IO 

50 
40 
30 

ao 

IO 

49 

0 

8.691  4379 

4277 

8.691  9629 

4288 

1.3080371 

9-999  4750 

IO 

o 

11 

IO 
20 
30 
40 
50 

8.691  8656 
8.692  2929 
8.692  7198 
8.693  1463 
8.693  5724 

4*73 
4269 
4265 
4261 

42(6 

8.692  5917 
8.692  8200 
8.693  2479 
8.693  6755 
8.694  1026 

4*83 

4*79 
4*76 
4271 

1.307  6083 
1.307  1800 
1.3067511 
1-306  5*45 
1.305  8974 

9  999  474° 
9-99947*9 
99994719 
9.999  4700 

9-999  4698 

11 

IO 

IO 

II 

IO 

50 

40 
30 

20 
IO 

50 

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8.693  998o 

8.694  5092 

1-305  4708 

9-999  4688 

o 

10 

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Cos 

d. 

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Sin 

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1 

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50 

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8.693  998° 

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8.694  5291 

4264 

1.305  4708 

9.999  4688 

ii 

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10 

IO 

zo 

3° 

40 

50 

8.6944151 
8.694  8480 
8.695  *7*4 
8.695  6964 
8.696  i  too 

4148 
4244 
4240 
4236 

4211 

8-6949555 
8.695  3814 
8.695  8068 
8.6961318 
8.696  6564 

4*59 
4*54 
4250 
4246 

did.1 

1.305  0445 
1.3046186 
1.304  1932 
1.303  7682 
1.303  3436 

9-999  4677 
9-999  4667 
9  999  4656 
9  999  4646 
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IO 

ii 

IO 

II 

JO 

50 
40 

30 

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10 

51 

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8.6965431 

4228 

8.697  0806 

42*8 

1.3029194 

9.9994615 

IO 

o 

9 

IO 
10 

30 
40 

5° 

8.696  9659 
8.697  1881 
8.697  8101 
8.698  1316 
8.698  6517 

4223 
4219 
4115 
4111 

4207 

8.697  5044 
8.697  9278 
8.698  3507 
8.698  7733 
8.699  1954 

4*34 
4229 
4126 
4121 
4118 

1.302  4956 
1.302  0722 
1.301  6493 
1.301  2267 
1.3008046 

9.9994615 
9.9994604 
9-9994594 
9-999  45»3 
9-999  457* 

II 

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II 
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50 
40 

30 

IO 
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52 

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8.6990734 

4201 

8.699  6l7* 

4211 

1.3003818 

9-999  456i 

II 

o 

8 

10 
20 
30 
40 
50 

8.699  4936 
8.6999135 
8.700  3330 
8.7007510 
8.701  1707 

4199 

4195 
4190 
4187 
4182 

8.7000385 
8.7004594 
8.700  8799 
8.701  3000 
8.701  7197 

4209 
4205 
4201 
4197 

AIQ3 

1.199  9615 
1.299  54o6 
1.199  I101 
1.298  7000 
1.298  2803 

9-999455* 
9-999  454i 
9-999  4530 
9.099  4510 

9-999  4509 

10 

II 

IO 

II 
II 

50 

40 

30 

20 

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53 

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8.701  5889 

4I?8 

8.701  1390 

4IOO 

1.2978610 

9.999  4498 

IO 

o 

7 

10 
10 

30 

40 
So 

8.702  0067 
8.701  4141 
8.702  8411 
8.703  2578 
8.703  6741 

4175 

4IJ° 
4166 

4163 
415! 

8.702  5580 
8.701  9765 
8.703  3946 
8.703  8121 
8.704  1195 

4185 
4l8l 
4176 

4»73 

4I7O 

1.297  4420 
1.2970235 
1.296  6054 
1.296  1878 
1.295  7705 

9.9994488 
9-999  4477 
9-999  4467 
9.9994456 

9-999  4445 

II 

10 

II 
II 

IO 

50 
40 
30 

20 

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54 

0 

8.7040899 

41  cc 

8.704  6465 

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9-999  4435 

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6 

IO 

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30 
40 

So 

8.704  5054 
8.704  9*°4 
8-7°5  3350 
8-705  7493 
8.706  1631 

4150 
4146 

4143 
4138 

4*35 

8.705  0630 
8.705  4791 
8.705  8948 
8.706  3101 
8.706  7150 

4161 

4157 
4153 
4149 

4145 

i-*94  9370 
1.294  5109 
1.294  1052 
1.293  6899 
1.293  2750 

9  999  44*4 
9.9994413 

9-999  4403 
9-999439* 
9.9994381 

II 

IO 

II 
II 

II 

50 
40 
30 

20 

10 

55 

0 

8.706  5766 

4130 

8.707  1395 

4142 

1.291  8605 

9.999  4370 

10 

0 

5 

IO 

IO 

30 
40 
50 

8.706  9896 
8.707  40»3 
8.707  8146 
8.708  1265 
8.708  6380 

4127 

4«3 
4119 

4"5 

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8.707  5537 
8.707  9674 
8.708  3808 
8.708  7937 
8.709  2063 

4137 
4134 
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4126 

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1.292  4463 
1.291  0326 
1.291  6192 
1.191  2063 
1.1907937 

9.999  4360 
9-999  4349 
9-999  433f 
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9-99943*7 

II 
II 

IO 

II 
ii 

50 

40 

30 

20 
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8.7090490 

4108 

8.709  6185 

4117 

1.1903815 

9.9994306 

II 

o 

4 

to 
20 

30 
40 

50 

8.709  4598 
8.709  8701 
8.710  1800 
8.710  6806 
8.7110987 

4103 

4099 
4096 

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8.7100302 
8.7104416 
8.710  8527 
8.711  1633 
8.711  6735 

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1.189  9698 
1.189  5584 
1.289  H73 
1.188  7367 
1.  188  3165 

9-999  4*95 
9.999  4284 

9-9994*74 
9-999  4*63 
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IO 

II 
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50 

40 
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8.7115075 

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8.7110834 

4.OQS 

1.287  9166 

9-999  4*4i 

II 

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3 

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10 

30 
40 
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8.711  9159 
8.712  3139 
8.7127315 
8-713  1387 
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4080 
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8.7124929 
8.7129019 
8.713  3106 
8.713  7100 
8.714  1269 

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4087 
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1.287  5071 
1.287  0981 
1.  186  6894 
1.186  1810 
1.185  8731 

9-999  4*3° 
9-999  4«9 
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9-999  4^8 
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II 

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50 

40 

30 

20 

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58 

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8.713  9520 

4.061 

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1.185  4655 

9.9994176 

II 

o 

2 

10 

10 

30 
40 
50 

8.7143581 
8.7147638 
8.715  1691 
8.715  5741 
8.715  9787 

4057 
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8.7149417 
8.715  3485 

8-7i$  7549 
8.710  1609 
8.716  5666 

4068 
4064 
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1.185  0583 
1.2846515 

1.2842451 
1.283  8391 
1.283  4334 

9-999  4165 
9-9994I54 
9-9994H3 
9.9994132 
9.9994121 

II 
11 
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II 
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50 

40 

30 

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59 

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8.7163819 

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8.716  9719 

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1.283  0281 

9.9994110 

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1 

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30 
40 
50 

8.7167867 
8.717  1901 
8.717  5932 

8-717  9959 
8.718  3981 

4034 
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8.717  3768 

8-717  7"3 
8.7181855 
8.718  5893 
8.718  9927 

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1.282  6232 
1.281  1187 
1.281  8145 
1.181  4107 
1.181  0073 

9-9994099 
9-999  4088 
9.9994077 
9.9994066 

9  999  4055 

II 
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50 
40 
30 

20 

10 

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8.718  8001 

8.719  3958 

1.1806041 

9.9994044 

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8.719  3958 

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1.2806042 

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8.719  2017 
8.719  6029 
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1.2802016 
1.279  7993 
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9.999  3978 

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8.721  6034 
8.722  0024 
8.722  4010 
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8.722  2067 
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1.277  3932 
1.276  9935 
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9-999  3967 
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50 
40 
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8.723  5946 

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1.275  7965 

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58 

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8.723  9918 
8.724  3886 
8.724  7850 
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8.725  5767 

3968 
3964 
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8.724  6018 
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1.275  398a 
1.275  °°°3 
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9.999  3900 
9.999  3889 

9-999  3877 
9.999  3866 

9-999  3855 

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50 

40 
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8.725  9721 

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8.7265877 

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9  999  3844 

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8.726  3671 
8.726  7617 
8.727  1550 
8.727  5498 
8.727  9434 

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8.726  9838 
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8.728  1700 
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1.273  0162 
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12 
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50 

40 

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8.728  9589 

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1.271  0411 

9-999  3776 

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56 

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8.728  7294 
8.729  1219 
8.729  5140 
8.729  9057 
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8.729  3529 

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8.7305326 
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1.2706471 
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1.269  8603 
1.269  467$ 
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8.730  6882 

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8.731  3174 

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1.268  6826 

9-999  3708 

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55 

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20 
30 
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8.7310789 
8.731  4693 
8.731  8503 
8.732  2489 
8.732  6382 

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8.731  7092 

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8.7324918 
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1.268  2908 
1.267  8993 
1.267  5°8* 
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9.9993607 
9-999  3686 
9-999  3674 
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50 
40 

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8.733  0272 

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1.2663369 

9-999  3640 

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54 

10 
20 
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8-733  4157 
8.733  8040 

8-734  19*9 
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8-734  9667 

3883 
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8.7340529 

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1.265  947i 
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8.883  2581 

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8.8845303 

2762 

1.1154697 

9.998  7278 

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8.883  8072 

8.8840814 

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9.998  7198 

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9.998  7116 

9.998  7100 

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8.887  8334 

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9.998  7084 

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8.888  1075 
8.888  3815 
8.888  6553 
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8.888  7171 
8.888  9883 
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9.998  6937 
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8.891  1119 

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8.8901414 
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9.998  6839 
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8.891  4209 

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8.891  6904 

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40 
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2663 
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9.998  6475 
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8.914  3611 
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8.914  8613 
8.915  1106 
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8.915  9003 
8.916  1517 
8.916  4030 
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1.0740907 
1.073  8483 
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1.073  3458 
1.073  0948 

9.998  4618 
9.998  4600 
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9.998  4565 
9.998  4547 

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8.915  6089 

8.917  1560 

1.071  8440 

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1.072  8440 

9.998  4529 

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20 
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8.915  8578 
8.926  1066 

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8.926  6038 
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8.927  4067 
8.927  6573 
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8.928  1580 
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1.072  3427 
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9.9984511 
9.998  4493 
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9.998  4440 

18 

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8.927  1003 

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1.071  3419 

9.998  4421 

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8.927  3484 
8.917  5963 
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8.928  9080 
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1.071  0920 
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9.998  440} 
9.998  4386 
9.998  4368 
9.998  4350 
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18 
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8.928  5866 

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8.930  1552 

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1.0698448 

9.9984315 

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8.928  8738 
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8.930  4042 
8.930  6530 
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8.931  1504 
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9.998  4297 
9.998  4179 
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9.998  4143 
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8.9300678 

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1.068  3519 

9-998  4207 

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8.960  7053 
8.9609177 
8.961  1699 
8.961  4020 
8.961  6340 

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2322 
2321 
2320 

21IQ 

1.039  *947 
1.039  0623 
1.038  8301 
1.038  5980 
1.038  3660 

9.998  1955 
9.998  1936 

9.998  1916 
9.998  1897 
9.998  1878 

'9 

20 

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50 
40 
30 

20 

10 

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8.9600517 

2298 

8.961  8659 

2117 

1.038  1347 

9.998  1859 

zo 

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10 
10 

30 
40 
50 

8.960  2815 
8.9605112 
8.960  7408 
8.960  9702 
8.961  1996 

2297 
2296 

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2294 
2192 

8.9620976 
8.962  3292 
8.962  5607 
8.962  7921 
8.963  0134 

23l6 
2315 
2314 

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1.037  90*4 
1.037  6708 

»-0374393 
1.037  2079 
1.0369766 

9.998  1839 

9.998  1820 

9.998  1801 

9.998  1781 

9.998  1762 

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20 

>9 
19 

50 
40 

30 

20 

10 

15 

0 

8.961  4188 

2291 

8-963  2545 

2310 

1.036  7455 

9.998  1743 

«o 

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45 

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20 

3° 
40 

5° 

8.961  6579 
8.961  8868 
8.962  1157 
8.962  3444 
8.961  5730 

2289 
2289 
2287 
2286 
2284 

8.963  4855 
8.963  7164 
8.963  9472 
8.964  1778 
8.964  4084 

2360 
2308 
2306 
2306 

21O4 

1.0365145 
1.036  2836 
1.0360528 
1.035  8222 
1.035  59i6 

9.998  1723 
9.998  1704 

9.998  1685 
9.998  1665 
9.998  1646 

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20 

19 

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50 
40 
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8.962  8014 

118  a 

8.964  6388 

21QI 

1.035  3612 

9.998  1626 

IQ 

o 

44 

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10 

30 
40 

50 

8.963  0298 
8.963  2580 
8.963  4861 
8.963  7141 
8.963  9420 

2282 
2281 
2280 
2279 
2277 

8.964  8691 
8.965  0993 
8.965  3293 
8.965  5591 
8.965  7891 

2302 
2300 
2299 
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1.035  1309 
1.0340007 
1.0346707 
1.034  4408 
1.0342109 

9.998  1607 
9.998  1588 

9.998  1568 

9.998  1549 
9.998  1529 

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20 

19 

20 

19 

50 
40 
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17 

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8.964  1697 

2277 

8.9660188 

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1.033  9812 

9.998  1510 

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8.964  3974 
8.964  6249 
8.964  8523 
8.965  0705 
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2275 
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8.966  2481 
8.966  4778 
8.966  7071 
8.966  9363 
8.967  1654 

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9.998  1490 
9.998  1471 
9.998  1451 
9.998  1432 
9.998  1412 

19 

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8.965  5337 

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8.967  3944 

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1.031  6056 

9.998  1393 

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20 

30 
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8.965  7606 
8.965  9874 
8.966  1141 
8.966  4406 
8.966  6671 

2268 
2267 
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2265 
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8.967  6233 
8.967  8520 
8.968  0807 
8.968  3092 
8.968  5376 

2287 
2287 
2285 
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1.0323767 
1.032  1480 
1.031  9193 
1.031  6908 
1.031  4624 

9.998  1373 
9.998  1354 
9.998  1334 
9.998  1315 
9.998  1295 

19 

20 

19 

20 
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50 
40 
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8.966  8934 

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1.031  2342 

9.998  1275 

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8.967  1196 
8.967  3456 
8.967  5716 
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8.968  0231 

2260 
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8.968  9940 

8.969  222O 
8.9694499 
8.969  6777 
8.969  9054 

2280 
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1.031  0060 
1.0307780 
1.0305501 

1.0303113 
1.030  0946 

9.998  1256 
9.998  1236 
9.998  1217 
9.9981197 
9.9981177 

20 

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8.968  2487 

8.970  1330 

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9.998  1158 

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20 

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8.968  4743 
8.968  6996 
8.968  9348 
8.969  1500 
8.969  3750 

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8-970  3604 
8.970  5878 
8.9708150 
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1.028  7309 

9.998  1x38 
9.998  ni8 

9.998  1099 
9.998  1079 
9.998  1059 

20 
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50 
40 
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8.969  5999 

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9.998  1040 

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8.969  8246 
8.9700493 
8.970  2718 
8.970  4981 
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8.971  7227 

8-97*  9493 
8.972  1758 
8.972  4622 
8.972  6285 

3366 

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2263 
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1.028  2773 
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1.027  8343 
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1.037  3715 

9.998  toio 
9.998  looo 
9.998  0980 

9.9980961 
9.998  0941 

20 

30 

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40 
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8.970  9468 

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8.972  8547 

1.037  1453 

9.998  0911 

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30 
40 

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8.971  1708 
8.97  1  1948 
8.971  6x86 
8.971  8424 
8.972  0660 

2240 
2238 
2238 
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8.973  0807 
8-973  3067 
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8.973  7<82 
8.973  9838 

2260 
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1.026  0193 
1.026  0933 
1.026  4675 
1.026  2418 
1.0260162 

9.998  0901 
9.998  0881 
9.998  0862 

9.998  0842 

9.998  0812 

2O 

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20 
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50 
40 
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8.972  3895 

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9.998  0801 

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40 
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8.9735138 
8.973  7361 
8.973  9593 
8-973  "23 
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8.9744346 
8.9746599 
8.974  8850 
8.975  i  too 
8.975  3349 

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1.025  5654 
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9.998  0782 
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30 
30 

20 

50 

40 
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8.973  6280 

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9.9980683 

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8-973  8507 
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8-974  *957 
8.9745180 

8.9747403 

2225 
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8-975  7844 
8.976  0089 
8.976  2334 
8-9764517 
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1.024*156 
1.0239911 
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1x223  3181 

9.998  0663 

9.998  0643 
9.998  0623 

9.998  0603 

9.9980583 

30 
30 

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30 

20 

50 
40 
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8-974  96*4 

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8.976  9060 

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1.023  °94° 

9.998  0563 

30 

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35 

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40 
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8.975  1844 

8-975  4°6* 
8.975  6280 

8-975  8497 
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8-977  1300 
8-977  3539 
8-977  5777 
8.977  Soil 
8.978  0248 

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1.022  8700 
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1.022  4223 
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9.998  0543 
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30 
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8.976  2926 

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8.978  1483 

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8.976  9562 

8-977  »77* 
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8-977  8394 
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1.014  8809 
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11 
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50 
40 
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20 
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39 

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8.993  1117 

1118 

8-995  3367 

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1.004  6633 

9  997  8850 

11 

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21 

10 

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30 
40 
50 

8-993  4345 
8.993  6471 

8  993  8597 
8.9940711 
8  994  1845 

1117 
1115 
1115 
1113 
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8  995  55'6 
8-995  7663 
8-995  98»o 
8.996  1955 
8.996  4100 

1147 
1147 
1145 
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1.004  1337 
1.004  0190 
1.003  8045 
1.003  5900 

9-997  8819 
9.997  8808 
9-997  8787 
9-997  8767 
9  997  8746 

11 
11 

10 

11 
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50 
40 
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8.994  4968 

8.996  6143 

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10 

30 
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8.994  7089 
8.994  9210 
8.995  '3*9 
8-995  3447 
8-995  5565 

2121 
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1118 
1116 

8.996  8385 
8.997  0527 
8.997  "67 
8.997^806 
8.997  0944 

2142 
2140 
2130 
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1.003  l6l5 
1.002  9473 
1.002  7333 
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I.OO2  3056 

9-997  8704 
9.9978683 
9.997  8662 
9-997  8641 
9.997  8620 

21 
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11 
21 
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40 
30 
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41 

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8.995  768i 

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8.997  9081 

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1.0020919 

9.997  8599 

11 

0 

19 

10 

10 

30 

40 

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8.995  9796 
8.996  1910 
8.996  4023 
8.996  6135 
8.996  8146 

2114 
1113 

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21  IO 

8.998  1218 

8-998  3353 
8.998  5487 
8.998  7620 
8.998  9752 

2135 
2134 

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i.ooi  8782 
i.ooi  6647 
i.ooi  4513 
i.ooi  2380 
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9-997  8578 
9-997  8557 
9.997  8536 
9.9978515 
9-997  8494 

21 
21 
21 
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50 
40 

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20 
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42 

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8.997  0356 

2IOQ 

8.9991883 

2I1O 

1.0008117 

9-997  8473 

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18 

10 
20 

30 

40 
50 

8.997  2465 

8-997  4573 
8.997  0680 
8.997  8786 
8.998  0891 

2108 
1IO7 
2106 
1105 

2IO1 

8-999  6H* 
8.999  8170 
9.0000397 
9.000  2522 

2120 
2128 
2127 
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2I4C 

i.  ooo  5987 
i.ooo  3858 
i.ooo  1730 

0.999  9603 
0.999  7478 

9-997  845* 
9.9978431 
9.997  8410 
9-997  8389 
9-997  8368 

11 
21 
21 
21 
21 

50 
40 
30 

20 
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43 

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8.998  2994 

2IO3 

9.0004647 

0-999  5353 

9-997  8347 

21 

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17 

10 

20 

30 
40 

5° 

8.998  5097 
8.998  7199 
8.998  9300 
8-999  '399 
8-999  349» 

2IO2 
1101 
2099 
2099 

1OO7 

9.000  6771 
9.000  8894 
9.001  IOID 
9.001  3136 
9.001  5256 

2123 
2122 
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2120 

1IIQ 

0.999  3«9 
0.999  tlo° 
0.998  8084 
0.998  6864 
0.998  4744 

9-997  83*6 
9-997  8305 
9.997  8184. 

9-997  81*3 
9-997  8*4* 

21 
21 
21 
21 

22 

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8  999  5595 

1OQ7 

9.001  7375 

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0.998  2625 

9.997  8220 

21 

0 

16 

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20 
30 
40 
50 

8.999  769* 
8.999  9788 
9.000  1882 
9.000  3976 
9.0006068 

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2094 
2092 
2092 

9.001  9493 

9.OO2  I  6  10 
9.002  3725 
9.0025840 

9.002  7954 

2117 
2115 
2115 
2114 

2112 

0.998  0507 
0.997  8390 
0.997  6175 
0.9974160 
0.997  2046 

9-997  8i99 
9-997  8178 
9.9978157 
9-997  8136 
9.9978115 

21 
21 
21 
21 

22 

50 
40 

30 

10 
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45 

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9.000  8160 

2090 

9.003  0066 

2112 

0.996  9934 

9-997  8093 

21 

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15 

10 

20 
30 
40 

5° 

9.001  0250 
9.001  2340 
9.001  4428 
9.001  6516 
9.001  8602 

2090 
2088 
2088 
2086 
2085 

9.003  2178 
9.003  4289 
9.003  6398 

9.0040015 

mi 
2109 

2100 
2108 
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0.996  7822 
0.9965711 
0.996  3602 
0.996  1403 
°-995  9385 

9-997  8071 
9-997  8051 
9-997  8030 
9-997  *°<>9 
9-997  7987 

21 
21 
21 
21 
21 

50 
40 
30 

10 
10 

46 

0 

9.002  0687 

2085 

9.004  2721 

2IO6 

o-995  7*79 

9-997  7966 

21 

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14 

10 

20 

30 
40 

5« 

9.002  2772 
9.0024855 
9.002  6938 
9.001  9019 
9.003  1099 

2083 
2083 
2081 
2080 
2080 

9.004  4827 
9.004  6932 
9.004  9035 
9.005  1138 
9.005  3240 

2IO5 
2103 
2103 
2IO2 
2IOO 

0-995  5*73 
0.995  3°68 
0.995  0965 
0.994  8862 
0.994  6760 

9-997  7945 
9-997  79*3 
9-997  790* 
9-997  7»8i 
9-997  7860 

22 
21 
21 
21 
22 

50 
40 
30 

10 

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47 

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9.003  3179 

1078 

9.005  5340 

2IOO 

0.994  4660 

9-997  7838 

21 

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13 

10 

20 

30 
40 

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9.003  5257 
9.003  7334 
9.0039411 
9.004  1486 
9.004  3560 

2077 
2077 
2075 
2074 

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9.005  7440 
9.005  9539 
9.006  1637 
9.006  3733 
9.006  5829 

2090 
2098 
2096 
2096 

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0.994  2560 
0.994  0461 
0.993  8363 
0.993  6167 
0.993  4171 

9-997  7817 
9-997  779* 
9-997  7774 
9-997  7753 
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21 
22 
21 
22 
21 

50 
40 
30 

10 
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9.004  5634 

2O72 

9.006  7924 

0.993  *°7& 

9-997  77  »o 

21 

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12 

10 

20 
30 
40 

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9.004  7706 
9.0049778 
9.005  1848 
9.005  3917 
9.005  5986 

2O71 
2070 
2069 
2069 
2067 

9.007  0017 

9.007  21  IO 
9.007  4202 
9-007  6293 
9.007  8383 

2093 
2O92 
2091 
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0.992  9083 
0.992  7890 
0.992  5798 
0.992  3707 
0.991  1617 

9-997  7689 
9-997  7667 
9.997  7646 

9-997  76i4 
9.997  7603 

22 
21 
22 
21 
21 

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40 
30 

10 

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49 

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9.005  8053 

9.0080471 

2O88 

0.991  9529 

9  997  75s* 

22 

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11 

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20 
30 
40 

5° 

9.0060119 
9.006  2185 
9.006  4249 
9.006  6312 
9.006  8375 

2066 
2064 
2063 
2063 

9.008  2S59 
9.008  4646 
9.008  6732 
9.008  8817 
9.0090901 

2087 
2086 
2085 
2084 
2083 

0.991  7441 
0-991  5354 
0.991  3268 
0.991  1183 
0.9909099 

9-997  756o 
9-997  7539 
9  997  75»7 
9-997  7496 
9-997  7474 

21 
22 
21 
21 
21 

50 
40 
30 

20 

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50 

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9.007  0436 

9.009  1984 

0.9907016 

9-997  7453 

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9.007  0436 

2061 

9.009  2984 

2081 

0.990  7016 

9-997  7453 

ji 

o 

10 

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10 

30 
40 
50 

9.007  0497 
9.007  4556 
9.007  6615 
9.007  8672 
9.008  0729 

2059 
2059 
2057 
2057 

2O« 

9.009  5065 
9.009  7146 
9.009  9226 
9.010  1305 
9.010  3383 

2081 
2080 

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207» 
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0-9904935 
0.990  2854 
0.990  0774 
0.989  8695 
0.989  6617 

9-997  743  > 
9-997  74»o 
9-997  7388 
9-997  7367 
9-997  7345 

21 
22 

21 
22 

22 

50 
40 
30 
20 

10 

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9.008  2784 

1O1S 

9.010  5461 

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0.9894539 

9-997  73*3 

u 

0 

9 

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2C 

3° 
40 

5° 

9.008  4839 
9.008  6892 
9.008  8945 
9.0090996 
9.009  3047 

2053 
2053 
2051 
2O5I 
2O4Q 

9.0107537 
9.0109612 
9.011  1686 
9.011  3759 
9.011  5831 

4075 
2074 
2073 
2O72 
1O72 

0.989  2463 
0.989  0388 
0.9888314 
0.988  6241 
0.988  4169 

9-997  73°» 
9-997  7»8o 
9-997  7»59 
9-997  7»37 
9-997  7«5 

22 
21 
22 

22 
31 

50 

40 
30 
20 

10 

52 

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9.009  5096 

2O4Q 

9.011  7903 

2O7O 

0.988  2097 

9.997  7194 

22 

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8 

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20 

3° 

40 
50 

9.0097145- 
9.009  9193 
9.010  1239 
9.010  3285 
9.0105330 

2048 
2046 
2046 
2045 
1O44 

9.011  9973 
9.012  2042 
9.0124110 
9.012  6178 
9.012  8244 

2069 
2068 
2068 
2066 
2066 

0.988  0027 
0.987  7958 
0.987  5890 
0.987  3822 
0.987  1756 

9-997  717* 
9-997  7151 
9-997  7«9 
9-997  7*07 
9-997  7086 

21 
22 
22 
21 
12 

50 
40 
30 

20 
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53 

0 

9.010  7374 

2O42 

9.0130310 

2064 

0.986  9690 

9.997  7064 

1J 

O 

7 

10 

10 

30 

4° 
50 

9.0109416 
9.011  1458 
9.011  3499 
9.011  5532 
9.011  7578 

2O42 
2041 
2040 
203Q 
203B 

9.013  2374 
9-013  1438 
9.013  6500 
9.013  8562 
9.0140623 

2064 
2O62 
2062 
2o6l 
2O5  Q 

0.986  7626 
0.986  5562 
0.9863500 
0.986  1438 
0.985  9377 

9-997  7041 
9.997  7020 

9-997  6999 
9-997  6977 
9-997  6955 

11 
11 
12 
11 
12 

50 
40 
30 
20 
IO 

54 

o 

9.011  9616 

OO37 

9.014  2682 

1OSQ 

0.985  7318 

9-997  6933 

21 

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6 

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10 

30 
40 

5° 

9.012  1653 
9.012  3689 
9.012  5724 
9.012  7758 
9.0129791 

2036 
1035 
2034 
2033 
2032 

9-°»4474i 
9.014  6799 
9.014  8856 
9.0150912 
9.0152967 

2058 
2057 
2056 
2055 
2054 

0.985  5259 
0.985  3201 
0.985  1144 
0.984  9088 

0.984  7033 

9-997  69*  » 
9-997  6890 
9.997  6868 
9.997  6846 
9-997  6825 

22 
22 
12 

21 

22 

50 
40 
30 
2O 
IO 

55 

o 

9.013  1823 

2O32 

9.015  5021 

2053 

0.984  4979 

9.997  6803 

22 

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5 

IO 

ao 
30 
40 
5° 

9x313  3855 
9.013  5885 
9.013  7914 
9.013  9942 
9.014  1970 

203O 
2020 
2028 
2028 
2O26 

9.015  7074 
9  015  9116 
9.016  1177 
9.016  3227 
9.016  5276 

1052 
2O51 
2050 
2049 
2O4Q 

0.984  2926 
0.984  0874 
0.983  8823 

0.983  6773 
0.983  4724 

9-997  6781 
9-997  6759 
9-997  6737 
9-997  6715 
9-997  6694 

22 
22 
22 
21 
11 

50 

40 
30 

20 
IO 

56 

o 

9.014  3996 

2O26 

9.016  7325 

2O47 

0.983  2675 

9.997  6672 

22 

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4 

10 

20 

30 
40 
50 

9.014  6022 
9.014  8046 
9.015  0070 
9.015  2092 
9.0154114 

2024 
2O24 
2O22 
2022 
2O21 

9.016  9372 
9.017  1418 
9-01?  344 
9.0175508 
9.017  7552 

2046 
2046 

2044 

2044 

2042 

0.983  0618 
0.982  8582 
0.982  6536 
0.982  4492 
0.982  2448 

9.997  6650 
9-997  6628 
9.997  6606 

9-997  6584 
9.997  6562 

22 
22 
21 
11 
11 

50 
40 
30 
20 
10 

57 

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9.015  6135 

2O1Q 

9.0179594 

2042 

0.982  0406 

9-997  6540 

11 

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3 

IO 
IO 

30 
40 
50 

9.015  8154 
9.016  0173 
9.016  2191 
9.0164208 
9.0166224 

2OIQ 
20l8 
2017 
20l6 
2OI< 

9.018  1636 
9.0183677 
9.018  5717 
9.0187756 
9.0189794 

2041 
2040 

2033 
2038 

IO  17 

0.981  8364 
0.981  6323 
0.981  4283 
0.981  2241 

0.981  O2OO 

9.9976518 
9-997  6496 
9-997  6474 
9-997  645* 
9-997  6430 

11 
11 
12 
22 

22 

50 
40 
30 

20 
10 

58 

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9.016  8239 

1OI4 

9.019  1831 

2036 

0.9808169 

9.997  6408 

22 

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2 

10 

ao 

3<> 
40 

5° 

9.017  0253 
9.017  1266 
9.017  4178 
9.017  6290 
9.017  8300 

2013 

1011 
1011 
2OIO 
2  COO 

9.019  3867 
9.019  5902 
9.019  7-«6 
9.019  9969 

9.O2O  -1002 

2035 
2034 
2033 
2033 
2O?  I 

0.9806133 
0.980  4OOB 
0.980  2064 
O.98O003I 
0.979  7998 

9-997  6386 
9-997  6364 
9.997  6342 
9.997  6320 
9-997  6298 

22 
22 
22 
12 
22 

50 
40 
30 

20 
IO 

59 

0 

9.018  0309 

1OO9 

9.0204033 

2O1I 

0.979  5967 

9.997  6276 

11 

o 

1 

IO 

10 

30 
40 
50 

9.018  2318 
9.018  4325 
9.018  6332 

9.018  8337 
9.0190342 

2007 
2007 
2005 
2005 

load. 

9.0JO  6064 
9.010  8093 
9.O2I  OI22 
9-011  2I5O 
9-021  4176 

2O29 
2O2Q 
2028 
2O26 
2O26 

0.979  3936 
0-979  1907 
0.978  9878 
0.978  7850 
0.978  5824 

9-997  6*54 
9-997  6232 
9.997  6210 
9.9976188 
9.997  6166 

21 

22 
22 
22 

11 

50 
40 
30 

20 

IO 

60 

o 

9.019  2346 

9.021  6202 

0.978  3798 

9-997  6143 

o 

0 

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d. 

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d.c. 

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9.019  2346 

2OO2 

9.021  6202 

2O2C 

0.978  3798 

9  997  6'43 

22 

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60 

to 

20 

30 
40 

50 

9.019  4^48 
9.019  6350 
9.0198351 
9.0200351 
9.020  2350 

2002 
2001 

2000 

IQQo 

9.021  8227 
9x3220251 
9.022  2274 
9.022  4296 
9.0226318 

2O24 
2O23 

1011 
2O22 

2O1O 

0.978  1773 

0-977  9749 
0.977  7726 
0.977  5704 
0.977  3682 

9.9976121 
9.9976099 
9-997  6077 
9-997  6055 
9-997  6033 

22 
22 
22 
22 
22 

50 

40 
30 
20 
10 

1 

o 

9.0204348 

1008 

9.022  8338 

1O1Q 

0.977  1662 

9.9976011 

21 

o 

59 

IO 

10 

30 
40 
50 

9.020  6346 
9.020  8342 
9.021  0337 
9.021  2332 
9.021  4325 

1996 
»995 
»995 
1993 
1407 

9.023  0357 
9.023  2376 
9.023  4393 
9.013  6410 
9.023  8426 

2OI9 
2017 
2017 
20l6 
2OIC 

0.976  9643 
0.976  7624 
0.976  5607 
0.976  3590 
0.976  1574 

9-997  5988 
9-997  S966 
9-997  5944 
9-997  59" 
9-997  5»99 

22 
12 
22 

*3 
22 

So 
40 
30 

20 
10 

2 

0 

9/321  6318 

IQQ2 

9.0240441 

2OIA 

o-975  9559 

9  997  5877 

22 

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58 

IO 
20 

3° 
40 
50 

9.021  8310 
9.O22  O3OO 
g.Oia  229O 

9.022*279 
9.022  6267 

1990 

I9BQ 
1988 
1987 

9.024  2455 
9.024*468 
9.024  6480 
9.014  8491 
9.025  0501 

2OI3 
2OI2 

101  I 
2OIO 

1OOQ 

0-975  7545 
0-975  553* 
0-975  35*o 
0.975  1509 

0  974  9499 

9-997  5855 
9-997  5833 
9-997  5*'o 
9-997  5788 
9-997  5766 

22 

*3 
22 

22 
21 

50 
40 
30 
2O 
10 

3 

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9.022  8254 

1986 

9.025  2510 

2OOQ 

0-974  749° 

9-997  5743 

22 

o 

57 

IO 
*0 

30 
40 

5° 

9.013  0240 
9.023  2225 
9.013  4110 
9.023  6193 
9.023  8175 

1985 
1985 
1983 
1982 
IQ82 

9.0254510 
9.025  6526 
9.025  8533 
9.026  0539 
9.026  2544 

2007 
2OO7 
2OO6 
2OO5 
2OO4 

0-974  548i 
0-974  3474 
0.974  1467 

0-973  946i 
0.973  7456 

9-997  57*i 
9  997  5699 
9-997  5676 
9-997  5654 
9-997  563* 

22 

*3 
22 
22 
21 

50 
40 
30 

20 

IO 

4 

o 

9.0240157 

1081 

9.026  4548 

2OO1 

0-973  545* 

9-997  5609 

22 

o 

56 

IO 
20 
30 
40 

5° 

9.024  2138 
9.024  AII  7 
9.024  6096 

9.0248074 

9.025  005  1 

1979 
1970 
1978 
1977 
1976 

9.0266551 
9.026  8553 
9.0270554 
9.027  2554 
9.027  4554 

2002 
XOOI 
1000 
2000 
1998 

0-973  3449 
0-973  1447 
0.972  9446 
0.972  7446 
0.972  5446 

9-997  5587 
9-997  SS^S 
9-997  554* 
9-997  55*0 
9  997  5497 

22 

*3 

22 
23 
22 

50 
40 
30 

20 

IO 

5 

o 

9.025  2027 

1975 

9.027  6552 

1998 

0.972  3448 

9-997  5475 

22 

o 

55 

IO 

to 

30 
40 

50 

9.015  4002 
9.025  5977 
9.025  7950 
9.025  9922 
9.026  1894 

»975 
»973 
1972 
1972 

1071 

9.027  8550 
9.028  0546 
9.028  2542 
9.028*537 
9.0286531 

1996 
1996 

»995 
»994 

IQQl 

0.972  1450 

o.97i  9454 
0.971  7458 
0.971  5463 
0.971  3469 

9-997  5453 
9.997  5430 
9-997  54o8 
9-997  5385 
9-997  5363 

*3 
22 

»3 
22 
21 

50 

40 
30 

20 

IO 

6 

o 

9.026  3865 

iq6q 

9.028  8524 

1QQ7 

0.971  1476 

9-997  5340 

22 

o 

54 

10 

10 

30 
40 
50 

9.026  5834 
9.026  7803 
9.026  9771 
9.027  1738 
9.027  3704 

32 

1967 

1966 

io6< 

9.0290517 
9.029  2508 
9.029  4408 
9029  6488 
9x329  8477 

1991 
1990 
1990 
1989 

I08? 

0.9709483 
0.9707492 
0.970  5502 
0.9703512 
0.970  1523 

9-997  53^8 
9-997  5*95 
9-997  5*73 
9-997  5*50 
9-997  5**7 

*3 

22 
*3 

*3 

22 

50 
40 
30 

20 
IO 

7 

o 

9.027  5669 

iq6c 

9.0300464 

IQ87 

0.969  9536 

9-997  5*05 

21 

O 

53 

IO 

20 

30 

40 

5° 

9.027  7634 

9-0*7  9597 
9.018  1560 
9.028  3521 
9.028  5482 

1963 
1963 
1961 
1961 

1  060 

9.0302451 
9.0304437 
9.030  6422 
9.030  8407 
9.031  0390 

1986 
1985 
1985 
1983 
1983 

0.969  7549 
0.969  5565 
0.969  3578 

0-969  1593 
0.968  9610 

9.9975182 
9-997  5'6o 
9-997  5  1  37 
9-997  5  "5 
9.997  5092 

22 

»3 

22 

>3 
21 

50 
40 
30 

20 

IO 

8 

o 

9.028  7442 

IQ(Q 

9.031  2373 

1081 

0.968  7617 

9-997  5069 

22 

o 

52 

10 

20 

30 
40 

5° 

9.028  9401 
9.029  1350 
9.0293316 
9.029  5272 
9.029  7228 

1958 

»957 
1956 
1956 

iQS4 

9x331  4354 
9.0316335 
9.031  8315 
9.032  0294 
9.032  2272 

1981 
1980 
1970 
1978 
1077 

0.968  5646 
0.968  3665 
0.968  1685 
0.967  9706 
0.967  7728 

9  997  5047 
9-997  50*4 
9-997  5001 
9-997  4979 
9-997  4956 

*3 
23 

22 

*3 

21 

50 

40 
30 

20 

IO 

9 

o 

9.0299182 

ICKA 

9.0324249 

1076 

0.967  5751 

9-997  4933 

22 

o 

51 

IO 
00 

30 
40 
50 

9.030  1136 
9.030  3088 
9.030  5040 
9.030  6991 
9.0308941 

1952 
1952 
1951 
1950 

1Q4Q 

9.032  6225 
9.032  8200 
9.033  0175 
9.033  1149 
9.033  4121 

»975 
1975 
1974 
1972 

1072 

0.967  3775 
0.967  1800 
0.966  9825 
0.9667851 
0.966  5879 

9.9974011 
9-997  4^88 
9-997  4865 
9.9974843 
9.997  4820 

*3 
*3 

22 

*3 

14 

50 

40 
30 

20 

IO 

10 

0 

9.031  0890 

9.033  6093 

0.966  3907 

9-997  4797 

0 

50 

* 

II 

Cos 

d. 

Cotg 

d.  c. 

Tang 

Sin 

d. 

If 

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83' 


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T»ng 

d.  c. 

Cotg 

Cos 

d. 

H 

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10 

o 

9.031  0890 

IQAO 

9.033  6093 

IQ7I 

0.9663907 

99974797 

1« 

o 

50 

IO 

10 

30 
40 

S° 

9.031  1839 
9.031  4786 
9x131  6731 
9.031  8678 
9.031  0613 

'947 
'947 
'945 
'945 

9.033  8064 
9.0340035 
9-034*004 

9-034  397* 
9.034  5940 

1971 

19£l 
1968 

1968 
1066 

0.966  1936 
0.965  9965 
0.965  7996 
0.965  6018 
0.965  4060 

9-997  4774 
9-997475* 
9-997  47*9 
9.997  4706 

9-997  4683 

11 

*3 
>3 
*3 

1» 

50 
40 
30 

IO 
IO 

11 

o 

9.031  1567 

9.034  7906 

1966 

0.965  1094 

9-997  4660 

11 

0 

49 

10 

20 

30 
40 

S<> 

9.0314510 
9.031  6451 
9.031  8393 
9.033  0334 
9.033  1173 

1941 
1941 
1941 

'939 

iota 

9.034  9871 

9-035  '^37 
9.035  3801 

9-035  5764 
9-035  77*7 

1965 
1964 
1963 
1963 

1061 

0.965  0128 
0.9648163 
0.964  6199 
0.964  4136 
0.964  1173 

9.9974638 
9  997  4615 
9-997  459* 
9-997  45»9 
9-997  4546 

>3 
*3 
*3 
*3 
11 

50 
40 
30 

10 
IO 

12 

o 

9.0334111 

ion 

9.035  9688 

1061 

0.9640311 

999745*3 

11 

0 

48 

10 
10 

30 

40 
50 

9.033  6140 
9.033  8086 
9.034  ooii 

9.034  1057 
9.034  3891 

»937 
1936 

»935 
'935 

IO71 

9.036  1649 
9.036  3609 
9.036  5567 
9.036  7516 
9.036  9483 

1960 
1958 
»959 
»957 

1MB 

0.9638351 
0.963  6391 
0-963  4433 
0.963  1474 
0.9630517 

9-997  450i 
9-997  4478 
9-997  4455 
9-997  443* 
9-997  4409 

*3 
*3 
*3 
*3 

17 

50 
40 
30 

10 
IO 

13 

o 

9.034  5815 

io;a 

9-037  '439 

XQCC 

0.961  8561 

9  997  4386 

M 

o 

47 

10 

10 

3° 
40 

5° 

9-034  7757 
9.034  9689 
9.035  1610 
9.035  3550 
9*35  5479 

193* 
1931 
1930 
1910 

1  018 

9-037  3394 
9-037  5349 
9-037  73°3 
9.037  9156 
9.038  1108 

»955 
»954 
«953 
1951 

IQSI 

0.961  6606 
0.9614651 
0.961  2697 
0.961  0744 
0.961  8791 

9-997  43^3 
9-997  4340 
9-997  4317 
9-997  4*94 
9.9974171 

*3 

*3 
*3 

*3 
11 

50 
40 
30 

10 
IO 

14 

o 

9.035  7407 

ion 

9.0383159 

I9<O 

0.961  6841 

9-997  4*4* 

11 

o 

46 

10 
ao 

3<> 
to 

5° 

9-035  9334 
9.0361161 
9.0363186 
9.0365111 
9.036  7035 

1917 
1915 
1915 
1914 

I  Oil 

9.0385100 
9.038  7058 
9x138  9007 
9.0390955 
9.039  1901 

»949 
1949 
1948 

1947 
1946 

0.961  4891 
0.961  1941 
0.961  0993 
0.960  904? 
0.960  7098 

9.9974115 
9-997  4*o* 
9-9974179 
9.9974156 
9-9974133 

*3 
*3 
*3 
*3 
*3 

50 
40 
30 

IO 
10 

15 

o 

9.036  8958 

1Q11 

9.0394848 

'945 

0.9605151 

9.9974110 

*3 

o 

45 

10 

10 

30 
40 

5° 

9x537  0880 
9.037  1801 

9-037  47" 
9.037  6641 
9.037  8559 

1911 

1920 
1910 
1918 

9.039  6793 

9-039  8737 
9x3400681 
9.040  1613 
9.0404565 

»944 
1944 
1941 
1942 
1941 

0.960  3107 
0.960  1163 
0-95993^9 
0-959  7377 
o-959  5435 

9.9974087 
9.9974064 

9-997404I 
9.9974018 

9-997  3995 

*3 

*3 
*3 

>3 

50 
40 
30 

IO 
IO 

16 

o 

9.038  0477 

9.040  6506 

1040 

09593494 

9-997  397i 

M 

o 

44 

10 

20 
3«> 

4° 

50 

9.038  1394 
9.0384310 
9.038  6116 
9.038  8140 
9.0390054 

I9l6 
I9l6 
1914 
1914 

IQI1 

9x340  8446 
9.041  0385 
90411314 
9.041  4161 
9.041  6198 

»939 
«939 
»937 
»937 
1916 

0-959  '554 
0.958  9615 
0.9587676 

o-958  5739 
0.958  3801 

9-997  3948 
9-997  39*5 
9-997  390* 
9-997  3»79 
9-997  3856 

*3 
*3 
*3 
*3 

21 

50 

40 

30 

IO 
IO 

17 

o 

9.039  1966 

IOI1 

9.041  8134 

IO1C 

0.958  1866 

9-997  3833 

o 

43 

IO 

10 

30 
40 
50 

9.039  3878 

9-039  5789 
9.039  7690 
9.039  9608 
9.0401517 

I9IX 
1910 
1909 
1909 

IOQ-7 

9x3410069 
9.041  1003 
9.041  3936 
9x341  5869 
9.041  7800 

»934 
'933 
1933 
1931 
19)1 

0-957993' 
0-957  7997 
0.9576064 

0-957  4*3  * 
0.957  iioo 

9-997  3809 
9-9973786 
9-997  3763 
9-997  3740 
9  997  37i6 

*3 
*3 

*3 
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M 

50 
40 
30 

ao 

IO 

18 

o 

9.040  3414 

iocn 

9.0419731 

19  IO 

0.957  0169 

9-997  3693 

M 

o 

42 

10 
10 

30 
40 

50 

9.0405331 
9.040  7137 
9.0409141 
9.041  1046 
9.041  1950 

1906 
1905 
1904 
1904 

IOO1 

9.043  1661 
9.043  3590 

9-043  55  »9 
9.043  7446 

9-043  9373 

1919 
1919 
1917 
1917 

MM 

0.956  8339 
0.956  6410 
0.9564481 
0.956  1554 

0.956  0617 

9-997  3670 
9-997  3647 
9-997  36*3 
9-997  3600 
9-997  3577 

*3 
*4 
*3 
*3 

17 

50 
40 
30 
10 

10 

19 

o 

9.041  485* 

IOC1 

9.044  1199 

JOli 

0-955  870i 

9-997  3554 

o 

41 

10 

00 

30 
40 
50 

9.041  6754 
9.041  8655 
9-04*0555 
9-04*  *454 
9-°4*  435* 

1901 

IS 

IBQ7 

9.044  311? 
9.0445148 
9.044  7071 
9.0448993 
9.045  0915 

1915 
1913 
1911 
1911 

IQ1I 

0.955  6777 
0-955  4*5* 
0.955  1919 
0.955  1007 
0-954  9085 

9-997  3530 
9-997  3507 
9-997  3484 
9-997  346o 
9-997  3437 

*3 

*3 

*4 

*3 

11 

50 
40 
30 

10 
IO 

20 

o 

9.041  6149 

9.045  1836 

0.954  7164 

9-997  34H 

o 

40 

i 

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Cos 

d. 

Cotg 

d.  c. 

Tang 

Sin 

d. 

N 

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8  151* 

9x701 


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d. 

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d-c. 

Cotg 

Cos 

d. 

II 

1 

20 

o 

9.042  6249 

1807 

9.045  2836 

XQOO 

0.954  7164 

9-997  34»4 

o 

40 

to 
10 

30 
40 

5° 

9.042  8146 
9.043  0042 

9-043  1937 
9.043  3831 
9.043  5724 

1896 
1895 
1894 

i»93 
1803 

9-045  4756 
9.045  6675 
9.045  8593 
9.0460511 
9.046  2428 

1910 
1918 
1918 
1917 

iqic 

0-954  5*44 
o-954  33*5 
0.954  1407 

0-953  9489 
0-953  757* 

9.997  3300 
9-997  3367 
9-997  3343 
9-997  33*0 
9-997  3*97 

*3 
H 
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43 

50 
40 
30 

20 

IO 

21 

0 

9.043  7617 

1801 

9.046  4343 

IOIC 

o-953  5657 

9-997  3*73 

23 

o 

39 

10 

20 
30 
40 

5° 

9.043  9508 
9.044  1309 
9.044  3289 
9.0445178 
9.044  7066 

1891 
1890 
1889 
1888 
1888 

9.046  6258 
9.046  8175 
9.047  0086 
9.047  1999 
9.047  3910 

1915 
1913 
1913 
1911 
IQII 

o-953  374* 
0-953  1827 
0.952  0914 
0.952  8001 
0.952  6090 

9-997  3*50 
9-997  3446 
9-997  3«>3 
9-997  3179 
9-997  315* 

44 
43 
H 
43 
Id 

50 
40 
30 

20 

IO 

22 

o 

9.044  8954 

1886 

9.047  5821 

IQIO 

0.9524179 

9-997  3»3* 

23 

o 

38 

IO 
10 

30 
40 

50 

9.045  0840 
9.045  2726 
9.0454611 
9.045  6495 
9.045  8378 

1886* 
1885 
1884 
1883 

1881 

9.047773* 
9.047  9641 
9.048  1549 
9.048  3457 
9.048  5364 

1910 
1908 
1908 
1907 

1006 

0.952  2269 
0.952  0359 
0.951  8451 
o.95i  6543 
0.951  4630 

9-997  3^09 
9-997  3085 
9-997  3062 
9-997  3038 
9-997  3015 

H 
43 
H 
43 
24 

50 
40 
30 

20 

10 

23 

o 

9.046  0261 

1882 

9.048  7270 

IQOC 

0.951  2730 

9-997  *99» 

13 

o 

37 

10 

so 

30 
40 

50 

9.046  2143 

9.046  4023 
9.046  5903 
9.046  7783 
9.046  9661 

1880 
1880 
1880 
1878 
1877 

9.048  9175 
9.049  1079 

9.049  1983 
9.049  4886 
9.049  6788 

1904 
1904 
1903 

1902 

IQOI 

0.951  0825 
0.950  8921 
0.950  7017 
0.95051x4 
0.9503212 

9.997  2968 

9-997  4944 
9.997  aoii 
9.997  1897 
9-997  *8?3 

44 
43 
H 
44 
41 

50 

40 
30 

20 

IO 

24 

o 

9.047  1538 

1877 

9.049  8689 

IQOO 

0.9501311 

9.997  2850 

24 

o 

38 

10 

so 

30 
40 
50 

9.047  3415 
9.047  5201 
9.047  7166 
9.0479040 
9.0480914 

1876 
1875 
1874 
1874 
1872 

9.050  0589 
9.050  2489 
9.0504387 
9.050  6285 
9.050  8182 

I90O 
1898 
1898 

1897 
1896 

o-949  94" 
0-94975" 
0.949  5*13 
0.949  371? 
0.949  1818 

9.997  2826 
9.997  2802 
9.997  2779 

9-997  4755 
9.997  2732 

44 
43 
44 
43 

*4 

50 
40 
30 

20 
10 

25 

o 

9.048  2786 

1872 

9.051  0078 

1896 

0.948  9922 

9-997  4708 

44 

o 

35 

10 
20 

30 
40 

5° 

9.048  4658 
9.048  6529 
9.048  8399 
9.049  0269 
9.049  4137 

1871 
1870 
1870 
1868 
1868 

9.051  1074 
9.051  3869 
9.0515762 
9.051  7656 
9.051  9548 

1895 
1893 
1894 
1892 
l89I 

0.948  8026 
0.948  6131 
0.948  4238 
0.948  2344 
0.948  0452 

9-997  4684 
9.997  2660 
9.997  2637 
9.997  2613 
9-997  4589 

H 
43 
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23 

50 
40 
30 

20 

IO 

26 

0 

9.049  4005 

1867 

9.052  1439 

l8QI 

0-947  8561 

9.997  2566 

24 

o 

34 

IO 

20 

30 
40 
50 

9.049  5872 
9.049  7738 
9.049  9605 
9.050  1468 
9.050  3331 

1866 
1865 
1865 
1863 

1861 

9.052  3330 
9.052  5220 
9.052  7109 
9.051  8997 
9.053  0884 

1890 
1889 
1888 
1887 
1887 

0.947  6670 
0.947  4780 
0.947  2891 
0.947  1002 
0.9469116 

9-997  4544 
9-997  4518 
9-997  4494 
9-997  H7* 
9-997  4447 

44 
44 
43 
H 
H 

50 

40 

30 

20 

IO 

27 

o 

9.0505194 

1862 

9.053  2771 

1886 

0.946  7229 

9-997  4443 

24 

0 

33 

IO 
JO 

30 
40 
50 

9.050  7056 
9,0508917 
9.051  0778 
9.051  *637 
9.051  4496 

1861 

1861 
1859 
1859 
1858 

9-053  4657 
9-053  654» 
9.053  8426 
9.0540310 
9.054  2192 

1885 
I884 
1884 
1882 
1882 

0-946  5343 
0.946  3458 
0.946  1574 
0.945  9690 
0.945  7808 

9-997  4399 
9-997  4375 
9-997  4351 
9.997  2328 

9-997  4304 

44 

44 

*3 

24 

24 

50 
40 
30 

20 
IO 

28 

0 

9.051  6354 

l8(7 

9.054  4074 

1881 

0.945  5926 

9.997  2280 

44 

o 

32 

IO 

20 

30 
40 
50 

9.051  8211 
9.052  0068 
9.052  1925 
9.0523778 
9.052  5634 

1857 
1855 
1855 
1854 

igej 

9-054  5955 
9.054  7836 
9.0549715 

9-055  1594 
9.055  3472 

1881 
1879 
1879 
1878 
1877 

0.945  4045 
0.945  2164 
0.945  0285 
0.944  8406 
0.944  6528 

9-997  4*56 
9.997  2232 
9.997  2208 
9-997  4184 
9.997  2160 

44 

44 
44 
44 

23 

50 
40 
30 

20 
10 

29 

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9.052  7485 

i8ci 

9-055  5349 

1876 

0.9444651 

9-997  4137 

44 

o 

31 

IO 
20 

30 
40 

50 

9.052  9318 
9-«>S3  "«9 
9-053  3040 
9.053  4890 

9-053  6739 

1851 
1851 
1850 
1849 
184.0 

9-055  7«5 
9.055  9101 
9.056  0075 
9.056  2849 
9.056472* 

1876 
1874 
1874 
1873 
1871 

0-944  4775 
0.944  0899 
0.943  9o»5 
0-943  7»5> 
0.943  5278 

9-997  4«3 
9.997  2089 
9-997  4065 
9.997  2041 
9.997  2017 

44 
44 
44 
44 

44 

50 
40 
30 

00 
IO 

30 

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9.053  8588 

9.056  6595 

0-943  3405 

9-997  1993 

o 

30 

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Cos 

d. 

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d.c. 

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d. 

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9.996  8304 

26 

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11 

50 

40 
30 

20 
10 

55 

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9.080  7189 

1735 

9.083  8911 

1761 

0.916  1089 

9.996  8178 

16 

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5 

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20 

30 
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50 

9.080  8924 
9.081  0059 
9.081  1393 
9.081  4126 
9.081  5858 

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1733 
1732 
1732 

9.084  0672 
9.084  2432 
9.0844191 
9.084  5950 
9.084  7708 

1760 
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1758 
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0.915  9328 
0.915  7568 
0.915  5809 
0.915  4050 
0.915  2292 

9.996  8252 
9.996  8117 
9.996  8101 
9.9968176 
9.9968150 

25 

10 

3 

15 

50 

40 
30 

20 
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56 

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9.081  7590 

17*1 

9.084  9466 

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0.915  0534 

9.996  8115 

16 

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4 

10 
20 

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5° 

9.081  9321 
9.082  1052 
9.082  3781 
9.0824510 
9.082  6239 

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9.085  1978 

9-°f  5  4734 
9.085  6488 

9.085  8141 

1756 
1756 
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0.914  8778 
0.914  7021 
0.914  5166 
0.9143512 
0.914  1758 

9.9968099 
9.996  8075 
9.996  8048 
9.996  8011 
9.996  7996 

26 

3 

26 
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50 
40 
30 
20 
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57 

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9.082  7966 

1717 

9.085  9996 

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0.914  0004 

9.996  7971 

16 

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3 

10 
10 

30 
40 
50 

9.082  9693 
9.083  1419 
9.083  3145 
9.083  4870 
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1716 
1716 
1715 
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9.086  1748 
9.086  3500 
9.086  5251 
9.086  7002 
9.086  8752 

1751 
1751 
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0.913  8251 
0.913  6500 

0-913  4749 
0.913  2998 
0.913  1248 

9.996  7945 
9.996  7019 
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9.088  4470 
9.088  6213 
9.088  7955 
9.088  9697 

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0.910  5082 
0.910  3543 
0.910  1605 
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9.996  7481 
9.996  7455 
9.996  7429 
9.996  740A 
9.996  7378 

26 
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9.090  1869 

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0.909  8131 

9.996  7352 

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9.087  0032 
9.087  2641 
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9.087  6050 
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9.9967196 

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9.088  1885 
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9.996  70Q2 
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26 
26 
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9.089  3104 
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9.092  5389 
9.0926116 
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9.092  9569 
9.093  1295 

1727 
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1726 
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0.907  5611 
0.907  3884 
0.907  2157 
0.907  0431 

0.906  8705 

9.996  7014 
9.996  6988 
9.996  6961 
9.996  6936 
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26 
26 
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9-093  4744 
9.093  6468 
9.093  8190 

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9.094  1634 

1724 
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0.906  5256 
0.906  3532 
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9.996  6779 
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26 
26 
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1692 
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9.094  5075 
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1720 
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0.905  4925 
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27 

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9.092  1027 
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9.996  6412 

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26 

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50 
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1696 
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9.111  3576 
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28 

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50 
40 

30 

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28 
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18 
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9.128  1487 
9.118  3040 
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9.1186145 
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9.131  1024 
9.131  1605 
9.1314186 
9.131  5767 
9.131  7347 

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0.867  8976 
0.867  7795 
0.867  5814 
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0.867  2653 

9.996  0463 
9.996  0435 
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50 
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9.128  9247 

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9.1190797 
9.119  1347 
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9.133  0505 
9.133  1083 
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0.866  9495 
0.866  7917 
0.866  6339 
0.866  4761 
0.866  3185 

9.996  0292 
9.996  0263 
9.9960135 
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9.119  8539 

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9.1300086 
9-130  1633 
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9.136  8231 
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0.862  8639 
0.862  7075 
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9-995  960* 
9-995  9574 
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9-995  9169 
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9-135  8454 

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0.860  3680 
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0.859  7462 

9-995  9081 
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50 
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9.136  3028 

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0.859  5908 

9-995  8936 

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9.136  6074 
9.136  7597 
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9.137  0640 

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0.859  1804 
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9-995  8878 
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29 
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50 
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0.858  6600 

9-995  8761 

20 

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30 
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9.137  3681 
9.137  sioi 
9.137  6721 
9.137  8239 

9-137  9757 

1519 
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9-141  4949 
9.141  6498 
9.141  8047 
9.141  9595 
9.142  1142 

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0.858  5051 
0.858  350* 
0.858  1953 
0.858  0405 
0.857  8858 

9.995  8732 
9-995  8703 
9-995  8674 
9-995  8645 
9.995  8616 

29 

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30 

50 
40 

30 

10 
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9.138  1275 

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9.142  2689 

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0.8577311 

9  995  8586 

10 

0 

6 

10 

10 

30 
40 

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9.138  2792 
9.138  4509 
9.138  5815 
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9.1388855 

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9.14*4235 

9-14*  57»i 
9.142  7526 
9.141  8871 
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0.857  5765 
0.857  4219 
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0.857  II29 
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9-995  8557 
9-995  85*8 
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9-995  8469 
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29 
30 
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50 
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9.139  0370 

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9-143  1959 

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0.856  8041 

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9.139  3397 
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9.143  3502 

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0.856  6498 
0.856  4955 
0.856  3413 
0.856  1872 
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9-995  8382 
9-995  8352 
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50 
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0.855  8790 

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9.1400955 
9.140  2465 
9.140  3975 
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9.144  2750 
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9.995  8206 
9-995  8176 
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9.145  0442 

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0.854  9558 

9-995  8059 

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20 

30 
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9.141  0008 
9.141  1515 
9.141  3021 
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1507 
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9.145  1979 

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0.854  8021 
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0.8541879 

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29 
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9.146  1189 
9.1462722 

9.1464255 
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9.1467318 

1533 
1533 
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0.8538811 
0.853  7278 

0-853  5745 
0.8534213 

0.853  *682 

9-995  7853 
9-995  7823 
9-995  7794 
9-995  7764 
9-995  7735 

30 
29 

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50 

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9.142  6555 

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9.146  8849 

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0.853  1151 

9-995  7705 

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20 

30 
40 

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9.141  8056 
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9.143  1056 
9-143  a556 
9-143  4055 

1500 
1500 
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9.147  0380 
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0.852  9610 
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9-995  7676 
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0.852  0447 
0.851  8920 
0.851  7394 
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9.1446027 
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50 
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9-147  1358 

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0.848  5457 

9.995  6815 

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9.147  2841 
9.147  4328 
9.147  5812 
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9-995  6035 
9  995  6005 
9  995  5975 
9-995  5945 

30 
30 
30 
30 

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50 
40 
30 

20 

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9.151  5694 

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9.155  9780 

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0.844  °**° 

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51 

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20 

30 
40 

50 

9.1517164 
9.151  8634 
9.1520103 
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9.152  3039 

1470 
1460 
1468 
1468 
1468 

9.156  1280 
9.156  2780 
9.156  4279 
9.1565777 
9.156  7275 

1500 

1499 
1498 
1498 
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0.843  8720 
0.843  7**° 
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0.843  4223 
0.843  *7»5 

9-995  5884 
9-995  5854 
9-995  58*4 
9-995  5794 
9  995  57»4 

30 
30 
30 
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50 
40 
30 

20 

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10 

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9.1524507 

9-156  *773 

0.843  1227 

9-995  5734 

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9.1524507 

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0.843  x**7 

9-995  5734 

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50 

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20 

30 
40 

50 

9-15*  5974 
9.152  7440 
9.152  8906 
9.153  0371 
9.153  1836 

1466 
1466 
1465 
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9.157  0270 
9.157  1767 
9.157  3263 

9-157  4759 
9.157  6254 

1497 
1496 
1496 
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1  404 

0.842  0730 
0.842  8233 
0.842  6737 
0.842  5241 
0.842  3746 

9-995  5703 
9-995  5673 
9-995  5643 
9.995  5613 

9-995  558i 

30 
30 
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50 
40 

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9.153  3301 

1461 

9.157  7748 

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0.842  2252 

9-995  555* 

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49 

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20 

30 

40 
50 

9.1534764 
9.153  6228 
9.153  7691 

9-I539153 
9.1540615 

1464 
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9-157  9*43 
9.1580736 
9.158  2230 
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1493 
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0.842  0757 
0.841  9264 
0.841  7770 
0.841  6278 
0.841  4786 

9-995  55** 
9-995  5491 
9  995  546i 
9-995  5431 
9-995  5401 

3i 

30 
30 
30 

50 
40 
30 

20 

10 

12 

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9.1542076 

9.158  6706 

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0.841  3294 

9-995  5370 

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0 

48 

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20 

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9-1543537 
9.1544998 
9.1546457 
9.1547917 
9.154  9376 

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9.1588197 
9.158  9688 
9-1591178 
9.159  2668 
9-1594157 

1491 
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1490 
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0.841  1803 
0.841  0312 
0.840  8822 
0.8407332 
0.840  5843 

9-995  5340 
9-995  5309 
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9-995  5*49 
9.995  5218 

31 
30 
30 
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9-159  5646 

1488 

0.840  4354 

9-995  5i88 

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47 

10 

20 

30 
40 

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9.155  2292 
9-»55  3749 
9-155  5*06 
9.155  6663 
9.155  8118 

1457 
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9.1597134 
9.1598622 
9.1600110 
9.160  1596 
9.160  3083 

1488 
1488 
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1487 
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0.840  2866 
0.840  1378 
0.839  9890 
0.839  8404 
0.839  6917 

9.995  5158 
9-995  5«7 
9-995  5097 
9-995  5066 
9-995  5036 

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50 
40 
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9-155  9574 

9.1604569 

0.8395431 

9-995  5005 

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20 

30 
40 
50 

9.156  1029 
9.156  2483 
9.156  3937 
9.156  5190 
9.1566843 

1454 
1454 
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9.1606054 
9.1607539 
9.1609023 
9.161  0507 
9.161  1990 

1485 
1484 
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0.839  3946 
0.839  2461 
0.839  0977 
0.838  9493 
0.838  8010 

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9-995  4944 
9-995  49'4 
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9-995  4853 

31 

30 

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50 
40 
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9.161  3473 

1481 

0.8386517 

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20 

30 
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9.156  9748 
9.157  1199 
9.157  2650 
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9.161  4956 
9.161  6438 
9.161  7919 
9.161  9400 
9.1620881 

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0.838  5044 
0.838  3562 
0.838  2081 
0.838  0600 
0.8379119 

9-995  479* 
9-995  476i 
9-9954731 
9-995  4/00 
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30 

30 

50 
40 
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9.157  7000 

9.1622361 

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o  837  7639 

9-995  4639 

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10 
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30 
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9-157  8449 
9-157  9897 
9.158  1345 
9.158  2792 
9.1584239 

1448 
1448 

1447 

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9.162  3840 
9.1625310 
9.162  6798 
9.162  8276 
9.162  9754 

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1477 

0.837  6160 
0.8374681 
0.837  3202 
0.837  1723 
0.837  0146 

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9-995  4578 
9-995  4547 
9-995  4517 
9.995  4486 

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50 

40 
30 

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0.836  8769 

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9.158  8577 

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0.836  7293 
0.836  5817 
0.836  4341 
0.836  2866 
0.836  1391 

9-995  44*5 
9-995  4394 
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31 
31 

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31 

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50 
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9-1594354 

9.1640083 

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40 

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50 
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296 

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290 
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580 
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9.161  1639 

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0.834  2263 

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30 
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9.1614513 
9.161  5949 
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9.165  9205 
9.1660672 
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9.166  3606 
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0.833  9328 
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71 

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9.167  8246 
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0.801  5156 
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0.801  2424 

9-994  6565 
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9.210  1198 
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9-«03759 
9.4105030 
9.2100318 

9.115  9111 
9.116  0416 
9.116  1741 
9.416  3055 
9.1164369 

0.784  0889 

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0.783  8459 
0.783  6045 
0.783  5631 

9.9942087 
9.994  105  j 

9-994  4018 

9.994  1984 
9.994  1949 

9.2107597 

9.216  5683 

0.7834317 

9.994  1914 

9.210  8875 
9.211  0154 
9.211  143* 
9.211  2709 
9.211  3986 

9.216  6996 
9.216  8309 
9.416  9611 
9.117  0933 
9.417  2245 

0.783  3004 
0.783  1691 
0.783  0379 
0.782  9067 
0.782  7755 

9.994  1880 

9.994  1845 

9.994  1810 

9.994  1776 
9.994  1741 

9.211  5263 

9.217  3556 

0.784  6444 

9-994  1706 

9-an  6539 
9.211  7815 
9.211  9090 
9.212  0365 
9.212  1640 

9.217  4861 
9.217  6178 
9.217  7488 
9.217  8798 
9.218  0108 

0.784  5133 
0.784  3844 
0.784  4514 

0.782  1404 
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9.994  1671 
9.994  1637 
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9-994  156? 
9-994  153* 

9.212  2914 

9.218  1417 

0.781  8583 

9.994  1498 

9.21*  4188 
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9.11*  6735 
9.21*  8008 

9.111  9280 

9.218  2726 
9.2184034 
9.218  5342 
9.218  6650 
9.118  7957 

0.781  7474 
0.781  5966 
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9-994  1465 
9.994  1418 

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9-994  135» 
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9.1130552 

9.118  9264 

0.781  0736 

9.994  1289 

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9.113  3005 
9.213  4366 
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9.219  0570 
9.219  1876 
9.219  3182 
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9.219  5793 

0.780  9430 

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9.413  8176 

9.119  7097 

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9.994  1079 

9.213  9446 
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9.119  8401 
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9.220  3615 

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0.779  8991 

0.779  7688 

0.779  6385 

9-994  1044 
9-994  1009 
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9.114  5787 

9.2204917 

0.779  SO^S 

9-994  0870 

9.214  7054 
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9.215  0851 
9.215  2118 

9.220  6219 
9.110  7521 
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0-779  378i 
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9-994  0835 
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9.9940765 
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9.221  2724 

0.778  7176 

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9.215  8441 
9.215  9704 

9.221  4024 
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9.211  6613 
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0.778  5076 
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0.778  3377 
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9.9940614 
9.9940589 
9-9940554 
9.9940519 
9.9940484 

9.216  0967 

9.221  05  18 

0.777  9481 

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9.216  2229 
9.216  3491 
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9.216  7276 

9.222  1815 
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9.216  9797 
9.217  1056 
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9.994  0203 
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9.123  7359 
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40 
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9.118  6146 
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9.2245111 
9.224  6401 
9.214  7601 
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0.775  4889 
0-775  3599 
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0.775  1018 
0.774  9729 

9-993  978o 
9-993  9745 
9-993  9709 
9.993  9674 

9-993  9639 

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35 

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9.119  1164 

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9-993  9603 

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9.119  3671 
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9.225  2840 
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9.225  5426 
9.225  6714 
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1289 
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0.7747151 
0.774  5862 

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9.993  9568 
9-993  9533 
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50 
40 

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27 

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9.1199931 

9.120  1181 
9.220  1431 
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9.2260575 
9.226  1862 
9.116  3148 
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0-773  9415 
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0-773  5567 
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9-993  9356 
9.993  9320 
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9.226  7004 

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9.993  9178 

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26 

10 
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30 
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9.220  8680 
9.210  9928 
9.121  1176 
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1240 
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9.226  8288 
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1284 
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0.773  *7" 
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0.771  9144 
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9.221  4918 
9.221  6164 
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9.117  7170 
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0.772  2730 
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9-993  8930 
9-993  8894 
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9.111  3636 
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9.118  3675 
9.128  4955 
9.228  6235 
9.228  7514 
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9,993  8716 
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9.229  i«o 
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9-993  8502 
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9.123  9778 
9.124  1018 
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9.230  6287 
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9.130  2837 
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9.993  8288 
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9.993  8181 
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50 
40 
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9.230  6660 
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40 
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9.131  3014 

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9.131  3014 

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9-993  7894 

36 

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20 
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9.225  2154 
9.225  3390 
9.225  4625 
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1136 
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9.1314296 

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9.231  6838 
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0.768  5704 
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0.768  1891 
0.768  0620 

9-993  7858 
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9.993  7786 

9-993  775° 
9.093  7715 

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40 
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41 

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9.225  8328 

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9.2320650 

1160 

0.767  9350 

9-993  7679 

16 

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19 

10 
20 

30 
40 

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9.225  9562 
9.216  0795 
9.226  2028 
9.226  3261 
9.226  4493 

"33 
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1131 

9.132  1919 
9.1313180 
9.1324458 
9.232  5726 
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1270 
1169 
1168 
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0.767  8081 
0.7676811 
0.767  5542 
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9-993  7643 
9-993  7607 
9-993  757* 
9-993  7535 
9-993  7499 

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16 

50 
40 

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42 

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9.226  5725 

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9.232  8262 

1168 

0.767  1738 

9-993  7463 

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18 

10 

20 

30 
40 
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9.226  6957 
9.226  8188 
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9.127  0650 
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9.232  9530 
9.233  0797 
9.233  2064 

9-133  333* 
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1267 
1267 
1167 
1166 
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0.767  0470 
0.766  9103 
0.766  7936 
0.766  6669 
0.766  5403 

9-993  7417 
9-993  739» 
9-993  7355 
9-993  73  '9 
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50 
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9.1273110 

1  220 

9.133  5863 

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0.766  4137 

9-993  7147 

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9.227  4330 
9.227  5568 
9.227  6797 
9.227  8025 
9.227  9253 

1229 
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9.233  7128 

9-133  »393 
9.233  9658 
9.2340923 
9.234  2187 

1165 
1165 
1165 
1164 
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0.766  2872 
0.766  1607 
0.766  0342 
0.765  9077 
0.765  7813 

9.9937111 
9-993  7»75 
9-993  7139 
9.993  7101 
9-993  7066 

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3 

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20 
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9.2180481 

1227 

9-134  345* 

1161 

0.765  6549 

9-993  7030 

16 

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16 

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9.228  1708 
9.228  2935 
9.2284162 
9.228  5388 
9.228  6614 

111? 
1127 
1226 
1226 
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9.2344714 

9-134  5977 
9.134  7140 
9.134  8501 
9.234  9764 

1263 
1163 
1161 
1161 
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0.765  5186 
0.765  4023 
0.765  1760 
0.765  1498 
0.765  0236 

9-993  6994 
9.993  6958 

9-993  6921 
9.993  6886 
9.993  6849 

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11 

5° 

40 

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20 

10 

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9.228  7839 

1215 

9.235  1026 

1161 

0.764  8974 

9-993  6813 

tf 

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15 

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3° 
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9.228  9064 
9.229  0289 
9.229  151* 
9.129  2738 
9.129  3962 

1225 
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1124 
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9.135  1187 
9-135  3548 
9.135  4809 
9.135  6069 
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1261 
1261 
1260 
1260 
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0.7647713 
0.764  6452 
0.764  5191 
0.7643031 
0.764  1671 

9-993  6777 
9.993  6741 

9-993  6705 
9.993  6669 
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3S 

3f 
36 

37 

36 

50 
40 
30 

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46 

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9.2295185 

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9.235  8589 

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0.764  1411 

9-993  6596 

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14 

10 

20 

30 
40 

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9.229  6408 
9.2297631 
9.219  8853 
9.1300075 
9.130  1197 

1223 
1222 
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9.235  9848 
9.236  1107 
9.236  2360 
9.236  3624 
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0.764  0152 
0.763  8893 
0.763  7634 
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36 

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9.2302518 

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9.236  6139 

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0.763  3861 

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20 

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9.230  3739 
9.2304959 
9.2306179 
9.230  7399 
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9.236  7597 
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9.236  9910 

9.237  1166 
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0.7631603 
0.763  1347 
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0.761  8834 
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9-993  6341 
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9.237  3678 

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0.762  6322 

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9.231  1057 
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9-137  4933 
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0.762  5067 
0.762  3812 
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36 

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30 
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9.238  1203 

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0.761  8797 

9-993  5941 

36 

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9.131  8361 
9.2319578 
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9.131  1010 

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9.238  2457 
9.238  3709 
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9.148  9995 
9.149  1163 
9.149  1330 

9-*49  3497 
9.149  4664 

9.155  9446 
9.156  0651 
9.156  1857 
9.156  3061 
9.1564167 

0.7440554 
0-743  9348 
0-743  8143 
0-743  6938 
0-743  5733 

9-993  °549 
9.9930511 

9-993  0473 
9  993  0435 
9-993  0397 

9.149  5830 

9.1496997 
9.149  8161 

9.149  93*8 
9.150  0493 
9.150  1658 

9.156  5471 

0.743  45*8 

9-993  °359 

9.156  6676 
9.156  7880 
9.1569083 
9.157  0186 
9.157  1489 

0-743  33*4 
0.743  1110 
0.743  09«7 
0.7419714 
0.7418511 

9-993  03*1 
9-993  0*83 
9.993  0145 

9-993  0107 
9.9930169 

9.150  1811 

9.157  1691 

0.741  7308 

9.9930x31 

9.1503987 
9.1505150 
9.1506314 
9.150  7477 
9.150  8640 

9.157  3894 
9.157  5096 
9.157  6198 

9-*57  7499 
9.157  8700 

0.741  6106 
0.7414904 
0.741  3701 
0.741  1501 
0.741  1300 

9  993  0093 
9993oo« 
9.993  0016 
9.9919978 
9.9919940 

9.1509803 

9.1579901 

0.7410099 

999*99°* 

9.15x0965 
9.151  1117 
9.151  3189 
9.1514450 
9.151  5611 

9.158  iiox 
9.158  1301 
9.158  3501 
9.1584701 
9.158  5900 

0.741  8899 
0.741  7699 
0.741  6499 

0-741  5*99 

0.741  4x00 

9.9919864 
9.9919816 
9.9919788 
9-99*9749 
9-99*97" 

9.151  6771 

9.158  7099 

0.741  1901 

9.9919673 

9.151  7931 
9.151  9091 
9.151  0151 
9.1511411 
9.151  1570 

9.158  8a97 
9.158  9495 
9.159  0693 
9.159  1801 
9.159  3088 

0.74*  1703 
0.741  0505 

0.7409307 
0.740  8x09 
0.740  6911 

7.9919635 
9.991  9597 
9.991  9558 
999*95*o 
9.991  9481 

9.151  3719 

9.1594185 

0.740  5715 

9-99*9444 

9.151*887 
9.151  6045 
9.151  1103 
9.151  8361 
9.1519518 

9.159  5481 
9.159  6678 
9.159  7875 
9.159  9070 
9.160  0166 

1196 

"97 
"95 
1196 

"95 
"95 
"94 
"95 
"94 
"93 
"93 

0.7404518 
0.740  3311 
0.740  1115 
0.7400930 
0-7399734 

9.9919405 

9  99*  9367 
9.991  9319 
9.991  9190 
9.991  9151 

9.153  0675 

9.160  1461 

0-739  8539 

9.991  9114 

9,153  i8jx 
9.153  1987 
9.153  4x43 

9-*S3  5*99 
9.153  6454 

9.160  1656 
9.160  3850 
9.160  5045 
9.160  6139 
9.160  7431 

0.739  7344 
0.739  6*50 
0.739  4955 
0.739  37*« 
0.739  »568 

9.991  9175 
9.9919137 
9.9919009 
9.9919060 
9.991  9011 

9.153  7609 

9.160  8615 

0.739  »375 

9.991  8984 

i 

// 

Cos 

d. 

Cotg 

d.  c.  1     Tang            Sin 

d. 

H 

1 

79' 


352 


10° 


1190 


357 
476 
595 
7»4 
833 
95* 
1071 


1180 

118 
.36 
3S4 

47« 
59° 
708 
816 

944 
1062 


1170 


468 


819 
936 
toss 


1160 
1x6 


348 
4^4 
58o 
696 
812 
998 


38 

i    3.8 
«    7.6 

3  ".4 

4  «S.» 

5  '9.0 
6«.8 
7*6.6 
830.4 
934.» 


39 


3".7 

4  IS.* 

5  I9.S 
«»3.+ 
7*7.3 
83«.» 
93S.1 


1 

n 

Sin 

d. 

Tang 

d.c. 

Cotg 

Cos 

d. 

n 

1 

20 

O 

9.153  7609 

lice 

9.160  8615 

IIQ7 

0.739  1375 

9.991  8984 

SO 

O 

40 

IO 

to 

30 

40 
50 

9.153  876* 
9.153  9918 
9.154  1071 
9.154  i»io 
9-454  3379 

"54 
"54 
"54 
"53 

HC3 

9.1609818 
9.161  ro  1  1 

9.l6l  2204 

9.461  3306 
9.i6x  4587 

"93 
"93 
1191 
1191 

XIQl 

0.739  Ol8* 
0.738  8989 
0.738  7796 
0.738  6604 
0.738  5413 

9.992  8945 

9.994  8860 
9.991  8830 
9.991  8791 

3» 

n 

3! 
3« 

9Q 

50 
40 
30 
IO 
IO 

21 

O 

9.2544531 

HCl 

9.261  5779 

XIQI 

0.738  4111 

9.992  8753 

18 

O 

39 

TO 
2O 
30 
4« 
5« 

9.154  5685 
9.154  6837 
9.154  7989 
9.154  9141 
9.255  0191 

1151 

"5* 
1154 
1x51 
ii<2 

9.261  6970 
9.161  8x61 
9.161  9351 
9.161  0541 
9.161  1731 

II9X 
II9I 
XI9O 
XIQO 

itfi 

0.7383030 
0.738  1830 
0.738  0648 
0.7379458 
0.737  8168 

9.991  8715 
9-994  8676 
9-994  8638 
9-994  8509 
9.992  8561 

n 

3* 

n 
3« 

70 

50 
40 
30 

IO 

xo 

22 

O 

9.155  1444 

mo 

9.161  1911 

IIOO 

0.737  7079 

9.992  8511 

38 

O 

38 

10 
10 

30 
40 
50 

9-455  *594 
9-455  3745 
9.155  4895 
9.155  6045 
9.155  7195 

IISX 

1x50 
1150 
1x50 

XI4Q 

9.1614111 
9.161  5300 
9.161  6489 
9.1617677 
9.161  8865 

1189 
1189 
us! 

1x88 
1188 

0.737  5889 
0.737  4700 

0-737  35" 
0.737  1313 

0-737  "35 

9.991  8484 
9.991  8445 
9.991  8407 
9.992  8368 
9:991  8329 

n 

3* 
39 
32 

y 

50 
40 
30 

10 
10 

23 

O 

9-*55  8344 

1  14.9 

9.263  0053 

1187 

0.736  9947 

9.992  8291 

1Q 

0 

37 

IO 
10 

30 
40 
50 

9-»55  9493 
9.1560641 
9.156  1790 
9.156  1958 
9.1564085 

1148 

1140 

1148 
1X4? 
1148 

9.163  1240 
9.163  1418 
9.163  3615 
9.163  4801 
9.163  5987 

1188 
1187 
1  1  86 
1x86 
1186 

0.736  8760 
0.736  7571 
0.736  6385 

0.7365*99 
0.7364013 

9.992  8252 
9.992  8114 
9.991  8x7* 
9.9918136 
9.9918098 

38 

39 

32 
38 

3Q 

50 
40 
30 

20 

IO 

24 

O 

9.156  5133 

1X47 

9.163  7173 

1186 

0.736  1817 

9.991  8059 

18 

O 

36 

IO 

•to 

30 
40 
50 

9.156  6380 
9.156  7516 
9.1568673 
9.1569819 
9.2570965 

1146 

"47 
1x46 
1x46 
"45 

9.163  8359 
9.163  9545 
9.1640730 
9.164  1914 
9.164  3099 

xi86 
1185 
1184 
1185 
1184 

0.736  1641 
0.7360455 
0.735  9170 
0.735  8086 
0.735  6901 

9.991  8011 
9.991  7981 
9.991  7943 
9.991  7QO< 
9.991  7866 

39 

32 
38 

39 

39 

50 
40 
30 

4O 
10 

25 

O 

9.257  2IIO 

"45 

9.1644183 

1x84 

0.735  57»7 

9.992  7817 

39 

0 

35 

IO 
20 

30 
40 

50 

9.257  3255 
9.157  4400 

9-457  5545 
9.157  6689 
9.157  7833 

"45 
"45 
"44 
"44 
"44 

9.464  5467 
9.1646651 

9.1647834 
9.1649017 
9.165  0100 

1184 
1183 
1183 
1183 
1181 

0-735  4533 
0-735  3349 
0.735  1x66 

0-735  0983 
0.7349800 

9.991  7788 
9.991  7750 
9.9917711 
9.991  7671 
9.991  7634 

3« 
39 

32 
38 

19 

50 
40 
30 

IO 

xo 

26 

O 

9.157  8977 

1  141 

9.165  1381 

1181 

0.734  8618 

9.991  7595 

-3Q 

O 

34 

IO 

20 

30 
40 
50 

9.158  oiio 
9.258  1163 
9.158  1400 

9.258  3548 
9.158  4690 

"43 
"43 
1142 
1141 
1141 

9.165  156} 
9.165  3746 

9.165  4917 
9.165  6108 
9.165  7189 

1181 
ix8x 
1x81 
1x81 
1181 

0-734  7436 
0.734  6154 

0-734  5°73 
0-734  3*9* 
0-734*7" 

9.991  7556 

9-99*75*7 
9.991  7478 

9-994  7440 
9.991  7401 

39 
39 
3« 
39 
39 

50 

40 
30 

10 
IO 

27 

O 

9.1585832 

1  141 

9.265  8470 

1180 

0.734  1530 

9.991  7361 

10 

O 

33 

TO 

20 

30 
40 
50 

9.158  6973 

9.1588114 

9.158  9155 
9.1590396 
9.159  1536 

II4X 

"41 
1141 
1x40 

II4O 

9-i6<  9650 
9.166  0830 
9.166  loxo 
9.1663180 
9.166  4368 

1180 

1  1  80 
"79 
"79 

1  1  79 

0.7340350 
0.733  9170 
0.733  7990 
0.733  68" 
0.733  5634 

9.992  7313 
9.9917284 
9-994  7145 
9-994  7107 
9.991  7168 

39 

32 
3* 

39 

4Q 

50 
40 
30 

to 

IO 

28 

O 

9.159  1676 

II7Q 

9.166  5547 

XX7Q 

0-733  4453 

9.9917129 

4Q 

O 

32 

10 

ao 

30 
40 
50 

9.159  38x5 

9-4594955 
9.259  6094 
9.159  7131 
9.259  8371 

1140 

"3? 
1138 

1x30 

1118 

9.166  6716 
9.166  7904 
9.266  9081 
9.167  0159 
9.167  1437 

XX78 
1X78 

"77 
1178 
1176 

0-733  3474 
0-733  4096 
0-733  °9l8 
0.734  974* 
0.731  8563 

9.994  7090 
9-994  7051 
9.991  701* 
9.991  6973 
9.9916934 

39 
39 
39 
39 

M 

50 
40 
30 

40 
IO 

29 

O 

9.2599509 

1X17 

9.167  1613 

1X77 

0.731  7387 

9-991  6895 

34 

0 

31 

10 

zo 

30 
40 

5° 

9.260  0646 
9.160  1784 
9.160  1911 
9.260  4058 

9.1605x94 

1138 

"37 
1137 
1x36 

1116 

9.167  3700 
9.167  4967 
9.167  6145 
9.167  7318 
9.167  8494 

"77 
1176 

"75 
1176 

XI7< 

0.731  6110 
0.731  5033 
0.731  38*7 
0.731  1681 
0.731  1506 

9.992  6856 
9.992  6817 
9.991  6778 
9.9916739 
9.991  6700 

39 
39 
39 
39 
49 

50 
40 
30 

4O 
IO 

30 

O 

9.260  6330 

9.167  9669 

0.734  0331 

9.991  6661 

O 

30 

i 

It 

Cos 

d. 

Cotg 

d.c. 

Tang 

Sin 

d. 

II 

• 

79' 


10° 


353 


1 

n 

Sin 

d. 

Tang 

dc. 

Cotg 

Cos 

d. 

11 

1 

80 

o 

9.160  6330 

1176 

9.167  9669 

117? 

0.7310331 

9.991  6661 

1Q 

O 

30 

IO 
10 

30 

40 
50 

9.160  7466 
9.160  8601 
9.1609737 
9.161  0871 
9.161  1007 

1136 
"35 
"35 
"35 

I  1  14 

9.268  0844 
9.168  2019 
9.268  3103 
9.1684367 
9.268  5541 

"75 
"74 
"74 

"74 
1171 

0-73*  9156 
0.731  7081 
a73i  6807 
0.731  5633 
0.731  4459 

9.992  6622 
9.992  6583 
9.992  6544 
9.991  6505 
9.992  6466 

39 
39 
39 
39 

IO 

50 
40 
30 
2O 
IO 

31 

o 

9.161  3141 

im. 

9.1666714 

1  171 

0.731  3186 

9.992  6427 

9O 

0 

29 

to 

10 

30 
40 
50 

9.161  4175 
9.161  5409 
9.161  6541 

'•*£  *  z!7i 
9.161  8808 

"34 
"33 
"33 
"33 
nil 

9.268  7887 
9.168  9060 
9.1690133 
9.169  1405 
9.169  1577 

"73 
"73 

117* 

"7* 

1172 

0.731  1113 
0.731  0940 

o.7309767 
0.7308595 
0.730  7413 

9.9916388 
9.992  6349 
9.9926310 
9.992  6270 
9.9916131 

39 
39 

40 

39 
19 

50 
40 
30 

20 

10 

32 

o 

9.161  9941 

utt 

9.269  3749 

TI7I 

0.7306151 

9.991  6192 

•3Q 

o 

28 

IO 

10 

30 
40 

S° 

9.162  1073 
9.161  2105 

9.161333* 
9.161  4468 

9.161  5599 

1131 
1131 
1131 
1131 

II1O 

9.269  4910 
9.169  6091 

9.269  72O1 
9.169  8431 
9.169  9661 

II7I 
II7I 
II7O 
II7O 
II7O 

0.730  5080 
0.730  3900 
0.730  2718 
0.730  1568 
0.7300398 

9.992  6153 
9.9916114 
9.992  6075 
9.991  6035 
9.9925996 

39 
39 

40 

39 
10 

50 
40 
30 

20 
10 

33 

o 

9.161  6729 

nil 

9.1700771 

II7O 

0.719  9118 

9.991  5957 

10 

0 

27 

10 

to 

30 
40 
50 

9.261  7860 
9.161  8990 

9.163  0120 
9.263  I14Q 
9.163  2378 

1130 
"30 
1119 
1129 

iriq 

9.170  1941 
9.27O3III 
9.170  4180 

9.1705449 
9.1706617 

1169 
1169 
1169 

nil 

n6q 

0.719  8058 
0.719  6889 
0.729  5720 

o-7>9  4551 
0.729  3383 

9.992  5018 
9.992  5879 
9.991  5839 
9.991  5800 
9.991  5761 

39 

40 

39 
39 
iq 

50 
40 

30 

IO 
IO 

34 

o 

9.163  3507 

Iliq 

9.170  7786 

1167 

0.729  1114 

9.991  5722 

4O 

o 

26 

10 
10 

30 
40 

So 

9.263  4636 
9.263  5164 
9.263  6891 
9.263  802O 
9.263  9147 

1128 

1128 

1118 
1117 
1117 

9.1708953 
9.1710121 
9.271  Il88 

9.171  1455 
9.171  3611 

1  1  68 
1167 
1167 
1167 
lift 

0.713  1047 
0.718  9879 
0.7188711 
0-7*8  7545 
0.718  6378 

9.991  5681 
9.991  5643 
9.991  5604 
9.991  5564 
9.991  5515 

39 
39 

40 

39 
19 

50 
40 
30 

10 
IO 

35 

o 

9.164  O174 

1117 

9.171  4788 

n  66 

0.728  5211 

9.992  5486 

40 

o 

25 

IO 

10 
30 
40 
So 

9.164  I4OI 
9.264  2J27 
9.2643653 
9.2644779 
9.264  5905 

1116 
1126 
1126 
1126 

H2C 

9.271  5954 
9.271  7120 
9.271  8286 
9.2719451 
9.2720616 

1166 
1  1  66 
1165 
1165 

0.728  4046 
0.728  2880 
0.728  1714 
0.728  0549 
0-7*7  93«4 

9.992  5446 
9.992  5407 
9:992  5368 
9.992  5328 
9.9915289 

39 
39 
40 

39 

•SQ 

50 
40 
30 

10 
IO 

36 

o 

9.164  7030 

112? 

9.271  1780 

1165 

0.717  8110 

9.992  5150 

4O 

o 

24 

IO 
10 

30 
40 

50 

9.2648155 
9.2649279 
9.265  0404 
9.265  1528 
9.165  2651 

II24 
1115 
1124 
1113 
XI24 

9.272  2945 
9.2714109 
9.2715172 
9.271  6436 
9.172  7599 

1164 
1163 
1164 
1163 
1161 

0-7*7  7°55 
0.717  5891 

0-7*7  47*8 
0.717  3564 

0.717  2401 

9.992  5210 
9.9925171 
9.9925131 
9.992  5091 
9-991  5051 

39 
40 

39 

40 

IQ 

50 
40 
30 

IO 
IO 

37 

o 

9.265  3775 

1111 

9.272  8762 

1162 

0.727  1138 

9.991  5013 

4O 

0 

23 

10 
IO 

30 
40 
50 

9.265  4898 
9.165  601  1 

9.165  71*3 
9.165  8165 
9.265  9387 

II23 
1121 
1111 
1111 
1111 

9.272  9914 
9.173  1087 
9.173  1249 
9.273  3411 
9-*73  457* 

1163 
1162 
1162 
1161 
1161 

0.727  0076 
0.726  8913 
0.726  7751 
0.716  6589 
0.716  5418 

9.991  4973 

9-99*4934 
9.9914894 
9.9914855 
9.9914815 

39 

40 

39 

40 

30 

5° 

40 
30 

20 
IO 

38 

o 

9.266  0509 

II1I 

9-*73  5733 

1  161 

0.716  4267 

9.991  4776 

4O 

o 

22 

IO 

20 
30 
40 
50 

9.166  1630 
9.266  2751 
9.266  3871 
9.266  4992 
9.l66  6113 

II1I 
IIH 

1120 
III! 
IIIQ 

9.173  6894 
9.273  8055 
9.173  9115 
9.274  0375 
9.274  1534 

1161 
1160 
1160 

"59 
1160 

0.716  3106 
0.716  1945 
0.726  0785 
0.715  0615 
0.725  8466 

9.991  4736 
9.9914697 
9.9914657 
9.9914618 
9.9924578 

39 

40 

39 
40 
tq 

5° 

40 
30 

20 

IO 

39 

0 

9.266  7131 

II1O 

9.274  2694 

IICO 

0.725  7306 

9-99*4539 

4O 

o 

21 

10 
10 

30 
40 
50 

9.266  8352 
9.266  9471 
9.267  0590 
9.267  1709 
9.267  2827 

III9 
III9 
IIIQ 
Kill 

1118 

9.274  3853 
9.174  5011 
9.174  6170 
9.174  7329 
9.274  8487 

1150 
1158 
1150 
1158 

IH7 

0.725  6147 
0.725  4988 
0.725  3830 
0.725  2671 
0.715  1513 

9.992  4499 
9.992  4459 
9.992  4420 
9.9924380 
9.9924340 

40 
39 

40 
40 
•jq 

50 
40 

3° 

20 

IO 

40 

0 

9.267  3945 

9.274  9644 

0.715  0356 

9.9924301 

o 

20 

i 

•1 

Cos 

d. 

Cotg 

d.  C. 

Tang 

Sin 

d. 

N 

; 

79C 


354 


10° 


1150 

«s 

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345 
460 

575 
690 
805 
930 
103$ 


1140 

"4 

228 
34» 
456 
570 


684 
798 
912 
1026 


1180 

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226 

339 
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565 
678 


904 


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336 
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784 
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9.267  3945 

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9.2749644 

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0-7*5  0356 

9.9914301 

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9-0 

10 

20 

30 
40 

50 

9.267  5063 
9.267  6180 
9.267  7297 
9.267  8414 
9.2679531 

1117 
1117 
1117 

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lilt 

9.2750802 
9.275  1950 
9.2753116 
9.275  4272 
9.275  5428 

"57 
"57 
1156 
1156 
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0.7240198 
0.724  8041 
0.724  6884 
0.724  5728 
0.7244572 

9.991  4161 
9.9924221 
9.9924182 

9-99*  4*4* 
9.992  4102 

40 

39 
40 
40 
to 

50 
40 
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20 
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41 

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9.268  0647 

1116 

9.275  6584 

ii(6 

0.7*4  34»6 

9.9914063 

AO 

O 

19 

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00 

30 
40 
50 

9.268  1763 
9.268  2879 
9.268  3994 
9.268  5109 
9.268  6214 

1116 
«"5 
i"5 
1115 

II  IA 

9-*75  7740 
9.275  8895 
9.270  0050 
9.276  1205 
9.276  2360 

"55 
"55 

"55 
"55 

1  1  (A 

0.724  2260 
0.7241105 
0.723  0950 
0.723  8795 
0.723  7640 

9.991  4013 
9.992  3983 

9  99*  3943 
9.992  3004 
9.992  3864 

40 

40 

39 

40 
40 

50 
40 

30 
10 
IO 

42 

o 

9.268  7338 

IX  14 

9.2763514 

IIC4 

0.713  6486 

9.991  3824 

4° 

o 

18 

10 

10 

30 
40 
So 

9.268  8452 
9.268  9566 
9.2690680 
9.269  1795 
9.269  2906 

1114 
1114 
1113 

«I3 
Hit 

9.276  4668 
9.276  5822 
9.276  6975 
9.2768128 
9.2769181 

"54 
"53 
"53 
"53 
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0.7*3  533* 
0.723  4178 
0.723  3015 
0.713  1871 
0.713  0719 

9-99*  3784 
9-99*3745 
9.991  3705 
9.992  3665 
9.992  3625 

39 

40 
40 
40 
40 

50 
40 
30 

20 

IO 

43 

o 

9.269  4019 

III2 

9.277  0434 

iisi 

0.722  9566 

9-99*  35«5 

4° 

o 

17 

10 
10 

30 
40 
50 

9.2695131 
9.269  6243 
9.269  7355 
9.269  8467 
9.2699578 

III2 
III2 
III2 
IIII 
IIII 

9.277  1586 
9.277  2738 
9.277  3889 
9.277  5041 
9.277  6192 

"5* 
1151 
1152 
1151 
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0.722  8414 
0.711  7262 
0.7216111 

o.7i*4959 
0.711  3808 

9-99*  3545 
9.992  3506 
9.992  3466 
9.992  3426 
9.992  3386 

39 

40 
40 
40 
40 

50 
40 
30 

20 
IO 

44 

o 

9.270  0689 

I  HO 

9-»77  7343 

IICO 

0.711  1657 

9-99*  334» 

4° 

o 

16 

10 
20 
30 
40 
50 

9.270  1799 
9.270  2910 
9.2704020 
9.2705129 
9.270  6239 

IIII 

IIIO 

1109 

IIIO 

1109 

9.277  8493 
9.277  9644 
9.278  0793 
9.278  1943 
9.278  3093 

1151 

"49 
1150 
1150 
1149 

0.711  1507 
0.721  0356 
0.711  9207 
0.721  8057 
0.721  6907 

9.992  3306 
9.992  3266 
9.992  3226 
9.992  3186 
9.992  3146 

40 
40 
40 
40 
40 

50 

40 

30 

20 

IO 

45 

O 

9.2707348 

1109 

9.1784242 

"49 

0.711  5758 

9.9913106 

4° 

o 

15 

IO 

ao 
30 
40 
50 

9.2708457 
9.2709565 
9.171  0674 
9.271  1782 
9.271  2889 

1  1  08 

IIOQ 

raol 

IIO7 

1108 

9.278(391 
9.278  6519 
9.278  7687 
9.178  8835 
9.2789983 

1148 
1148 
1148 
1148 
1148 

0.711  4609 
0.711  3461 
0.711  1313 
0.721  1165 
0.721  0017 

9.991  3066 
9.991  3026 
9.992  2986 
9.992  2946 
9.9921906 

40 
40 
40 
40 
40 

50 

40 

30 

20 
IO 

46 

o 

9.271  3997 

IIO7 

9.1791131 

1  147 

0.710  8869 

9.991  2866 

40 

O 

14 

10 

20 

30 
40 
50 

9.271  5104 
9.271  6211 
9.271  7317 
9.271  8423 
9.271  9529 

IIO7 
HOD 

1106 
1106 
1106 

9.179  2278 

9-»79  34*5 
9.2794571 
9.2795717 
9.279  6863 

"47 
1146 
1146 
1146 
1146 

0.720  7722 
0.7106575 
0.7*0  5429 
0.7204283 
0.7203137 

9.991  2826 
9.991  1786 
9.991  1746 
9.991  2706 
9.992  2666 

40 
40 
40 
40 
40 

50 
40 
30 
20 
10 

47 

o 

9.272  0635 

HOC 

9.279  8009 

1146 

0.710  1991 

9.991  1626 

40 

O 

13 

IO 
20 
30 
40 
50 

9.272  1740 
9.272  2845 
9.272  3950 
9.272  5055 
9.272  6159 

1105 
1105 

1105 

1104 

IIQ4 

9.279  9155 
9.280  0300 
9.280  1445 
9.280  2589 
9.2803734 

"45 
"45 
"44 
"45 
1144 

0.720  0845 
0.719  9700 

o.7«9  *555 
0.719  7411 
0.719  6266 

9.992  2586 
9.992  2546 
9.992  2506 
9.991  14*5 
9.992  14*5 

40 
40 
4» 
40 
40 

50 
40 
30 

20 

IO 

48 

0 

9.272  7263 

not 

9.2804878 

1144 

0.7195111 

9.9922385 

4° 

o 

12 

IO 
20 

30 
40 

50 

9.272  8366 
9.272  9470 
9.273  0573 
9.273  1675 
9.273  1778 

1104 
1103 

1  1  01 

1103 

IIO2 

9.180  6022 
9.280  7165 
9.280  8308 

9.2809451 
9.281  0594 

"43 
"43 
"43 
"43 

1  141 

0.719  3078 
0.719  1835 
0.719  1691 
0.719  0549 
0.718  9400 

9  99*  -1345 
9.992  2305 
9.992  2265 
9.992  2224 
9.992  2184 

40 
40 

4» 

40 

40 

50 
40 
30 

20 
10 

49 

O 

9.273  3880 

IIO2 

9.281  1736 

1  141 

0.718  8164 

9.991  1144 

4° 

O 

11 

IO 
20 
30 
40 
50 

9.273  4982 
9.273  6084 
9.273  7185 
9.273  8286 
9.273  9387 

IIO2 
IIOI 

1  101 
IIOI 

9.281  2878 
9.281  4020 
9.281  5162 
9.281  6303 
9.281  7444 

1142 
1142 
1141 
1141 

II4I 

0.718  7111 
0.718  5080 
0.7184838 
0.718  3697 
0.718  1556 

9.991  2104 
9.992  2063 
9.992  2023 
9.992  1983 
9.992  1943 

4> 
40 
40 
40 
41 

50 
40 
30 
20 
IO 

50 

0 

9.2740487 

9.281  8585 

0.718  1415 

9.992  1902 

O 

10 

i 

ft 

Cos 

d. 

Cotg 

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Tang 

Sin 

d. 

ii 

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10° 


355 


1 

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Sin 

d. 

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d.  c. 

Cotg 

Cos 

d. 

a 

1 

50 

o 

9.1740487 

IIOO 

9.181  8585 

II4O 

0.718  1415 

9.991x901 

4O 

o 

10 

10 

10 
30 
40 
50 

9.174  1587 
9.174  1687 
9.174  378.6 
9.174  4886 
9.174  5985 

IIOO 

1099 

IIOO 

9.181  971$ 
9.181  0865 
9.181  1005 
9.181  3145 
9.281  4184 

I  I4O 

XI4O 
II4O 

"39 

0.7180175 
0.7179135 
0.717  7995 
0.717  6855 
0.717  5716 

9.991  1861 
9.991  1811 
9.991  1781 
9.991  1741 
9.991  1701 

4* 

40 
40 
41 

50 
40 
30 

10 

IO 

51 

0 

9.174  7083 

1OQQ 

9.181  5413 

I  HQ 

0.7174577 

9.991  1660 

40 

0 

9 

IO 
10 

30 
40 
50 

9.174  8181 
9.174  9180 
9.175  0378 

9  »75  H75 
9.175  1573 

1098 
1098 
1097 
1098 
IO06 

9.181  6562 
9.181  7700 
9.181  8838 
9.181  9976 
9.283  1114 

1138 
1138 
1138 
1138 

II«7 

0.717  343* 
0.717  1300 
0.717  1x61 
0.717  0014 
0.716  8886 

9.992  1610 
9.991  1580 
9.991  1539 
9.991  1490 
9.991  1458 

40 
41 
40 
4i 

4° 

50 
40 
30 

IO 
10 

52 

o 

9.175  3669 

IOQ7 

9.183  1151 

IH7 

0.716  7749 

9.991  1418 

4° 

o 

8 

10 
IO 

30 
40 
50 

9.175  4766 
9.175  5863 
9.175  6959 
9.175  8054 
9.175  9150 

1097 
1096 

1°95 
IOQ( 

9.283  3388 
9.183  4515 
9.183  5661 
9.183  6798 
9.283  7934 

"37 
"37 
1136 
1136 
1116 

0.7166611 
0-716  5475 
0.716  4338 
0.716  3201 
0.716  2066 

9.991  1378 

9-99*  1337 
9.991  1197 
9.991  1156 

9.991  1110 

4i 
40 
41 

40 

41 

50 
40 
30 

IO 
IO 

53 

0 

9.176  0245 

IOQS 

9.183  9070 

"35 

0.7160930 

9.991  1175 

4° 

o 

1 

IO 
IO 

30 
40 
50 

9.176  1340 
9.176  »435 
9.1763519 
9.1764613 
9.176  5717 

1095 

1094 
1094 
1094 

IO04 

9.184  0105 
9.184  1340 
9.184  1475 
9.184  3610 
9.2844744 

"35 
"35 
"35 
"34 

IH4 

0-715  9795 
0.715  8660 

0.715  75*5 
0.715  6390 
0.715  5*56 

9.9911X35 
9.991  1094 
9.991  1054 
9.991  10X3 
9.992  0973 

41 

40 

40 
41 

50 
40 
30 

10 
IO 

54 

0 

9.1766811 

IOQ1 

9.284  5878 

"34 

0.715  4122 

9.992  0931 

40 

o 

6 

10 
10 

30 
40 
50 

9.176  7904 
9.176  8907 
9.177  0089 
9.177  1181 
9.177  1174 

1093 
1091 
1093 
IO91 
IO91 

9.184  7011 
9.184  8146 
9.184  9179 
9.185  0411 
9-**5  1545 

"34 
"33 
"33 
"33 
1131 

0.715  2088 
0.715  1854 
0.715  0711 
0.7140588 

9.9910891 
9.9910851 
9.99108II 
9.9910770 
9.9910729 

41 
40 
41 

40 

50 
40 
30 

IO 
IO 

55 

o 

9-*77  3366 

1O9X 

9.185  1677 

1132 

0.7H  73*3 

9.9910689 

41 

0 

5 

to 
ao 

40 
5° 

9-»77  4457 
9-»77  5549 
9^776640 
9.177  7730 
9.177  8811 

1091 
IO9O 
IO9I 

IOOO 

9-1853809 
9.185  4941 
9.185  6673 
9.185  7104 

9.185  8335 

113* 

"3* 
1131 
1131 
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0.714  6191 
0.714  5059 
0-714  39*7 
0.714*796 
0.714  1665 

9.9910648 
9.9910608 

9.9910526 
9.9920486 

40 
4» 
41 
40 
41 

50 

40 
30 

IO 
10 

56 

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9.1779911 

IOOO 

9.185  9466 

I  ISO 

0.7140534 

9.991.0445 

41 

o 

4 

10 

20 
30 
40 

5° 

9.178  loot 
9.178  2090 
9.1783179 
9.1784168 
9-*7«  5357 

1089 
1089 
1089 
1089 
1088 

9.186  0596 
9.186  1716 
9.186  2856 
9.186  3986 
9.2865115 

1130 
1130 
1130 
1119 

II3O 

0.713  9404 
0.713  8174 
0.7137144 
0.713  6014 
0.713  4885 

9.9910404 
9.9910364 
9.991  0313 
9.991  Ol8l 
9.991  0241 

40 
41 
41 
41 
40 

50 
40 
30 

10 
IO 

57 

0 

9.278  6445 

1088 

9.186  6245 

1x18 

0-713  3755 

9.992  0201 

41 

o 

3 

10 

10 
30 
40 
SO 

9.278  7533 
9.2,78  8611 
9.178  9700 
9.1790706 
9.1791883 

1088 
1088 
1087 
1087 

1087 

9.186  7373 

9.186  8501 
9.186  9630 

9.287  1886 

I  I2O 
1128 

1128 

1118 

1128 

0.713  1617 
0.713  1498 
0.713  037° 
0.7x1  014* 
0.7118114 

9.991-Ol6o 
9.9910IIO 
9.9910078 
9.9910038 

9.991  9997 

4* 
40 
41 
41 

50 
40 
30 

10 

10 

58 

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9.179  1970 

1086 

9.187  3014 

0.7116986 

9.991  9956 

41 

o 

2 

IO 
10 

30 
40 
50 

9.1794056 
9.279  5141 
9.279  6218 

9-*7973»4 
9.179  8399 

1086 
1086 
1086 
1085 
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9.1874141 

9.287  5268 

9.1876395 
9.187  7511 
9.187  8647 

1117 
1117 
1116 
1116 
1116 

0.711  5859 

0.711473* 
0.711  3605 

0-71*  *479 
0.711  1353 

9.9919015 
9.991  9875 
9-991  9834 
9-991  9793 
9.991  9751 

40 
41 

41 

50 
40 
30 

20 

10 

59 

o 

9.179  9484 

9.287  9773 

0.7120127 

9.99197" 

41 

o 

1 

IO 

20 

30 
40 

5° 

9.180  0569 
9.180  1653 
9.180  1738 
9.1803811 
9.1804905 

1084 
1085 
1083 
1084 

1081 

9.288  0899 
9.288  2024 
9.188  3149 
9.288  4274 
9.188  5398 

1115 
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II1C 

0.711  9101 
0.711  7976 
0.711  6851 
0.7115716 
0.7114602 

9.991  9670 
9.991  9620 
9.991  9588 
9.991  9548 
9.991  9507 

4* 
41 
40 

4i 
41 

50 
40 

3° 
20 

IO 

60 

o 

9.180  5988 

9.188  6513 

0.7113477 

9.991  9466 

0 

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9.180  5988 

1084 

9.283  6523 

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0.711  3477 

9.991  9466 

o 

60 

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30 
40 

5° 

9.280  7072 
9.2808154 
9.280  9237 
9.281  0319 
9.281  1401 

1082 
1083 
1082 
1082 
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9.288  7647 
9.288  8770 
9.288  9894 
9.289  1017 
9.289  2140 

1123 
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1123 
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0.711  2353 
0.7x1  1230 
0.711  0106 
0.710  8983 
0.710  7860 

9.991  9425 
9.991  9384 

9  99*  9343 
9.991  9302 
9.991  9261 

4* 
4* 
41 
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50 
40 
30 
20 

10 

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9.281  2483 

1081 

9.289  3263 

till 

0.7106737 

9.991  9220 

o 

59 

IO 

20 

30 
40 

5° 

9.281  3564 
9.281  4645 
9.281  5726 
9.281  6806 
9.281  7887 

1081 
1081 
1080 

1081 
1080 

9.2894385 
9.289  5507 
9.289  6629 

9-a89  775° 
9.289  8872 

1111 
1111 
II2I 
XI22 
till 

0.7105615 
0.7104493 
0.7103371 
0.710  2250 
0.710  1128 

9.991  9179 
9.991  9138 
9.991  9097 
9.991  9056 
9.991  9015 

4i 
4« 
4* 
4* 

4.1 

50 
40 
30 

20 

IO 

2 

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9.281  8967 

IO7Q 

9.289  9993 

I  III 

0.710  0007 

9.991  8974 

4.1 

o 

58 

10 

20 

30 

40 
50 

9.282  0046 
9.282  1126 
9.282  2205 
9.282  3284 
9.282  4362 

1080 
1079 
1070 
1078 
IO7Q 

9.290  1114 
9.290  1234 
9.2903354 
9.2904474 
9.290  5594 

II2O 
1120 

IIIO 
1120 
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0.709  8886 
0.709  7766 
0.709  6646 
0.709  5526 
0.709  4406 

9.991  8033 
9.991  8892 
9.991  8851 
9.991  8810 
9.991  8768 

41 
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4' 

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4.1 

50 
40 
30 

20 
10 

3 

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9.282  5441 

IO78 

9.290  6713 

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0.709  3287 

9.991  8727 

41 

o 

57 

IO 

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30 
40 
50 

9.282  6519 
9.282  7596 
9.282  8674 
9.0829751 
9.283  0828 

1077 
1078 
1077 
1077 
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9.290  7832 
9.2908951 
9.291  0070 
9.291  ii»8 
9.291  2306 

III9 
IIIQ 

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xn8 
1118 

0.709  2168 
0.709  1049 
0.708  0030 
0.708  88  1  2 
0.708  7694 

9.991  8686 
9.991  8645 
9.991  8604 
9.991  8563 
9.991  8522 

4» 
4» 

4» 
4* 
41 

50 
40 
30 

IO 
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4 

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9.283  1905 

XO76 

9.291  3424 

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0.708  6576 

9.991  8480 

41 

o 

56 

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10 

30 
40 
50 

9.283  2981 
9.283  4057 

9-*83  5133 
9.283  6209 
9.283  7284 

1076 
1076 
1076 
1075 
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9.291  4542 
9.291  5659 
9.291  6776 
9.191  7893 
9.191  9009 

1x17 
1117 

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1117 

0.708  5458 
0.708  4341 
0.708  3224 
0.708  2107 
0.708  0991 

9.991  8430 
9.991  8398 
9.991  8357 
9-991  8316 
9.991  8274 

4* 
4* 
41 
4* 
41 

50 
40 
30 

20 
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5 

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9.283  8359 

1074 

9.1920126 

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0.707  9874 

9.991  8133 

4i 

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55 

10 

20 

30 
40 

50 

9.283  943? 
9.284  0508 
9.284  1582 
9.284  2656 
9.284  3730 

1075 
1074 
1074 
1074 

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9.292  1241 
9.292  2357 

9-»9*  3473 
9.292  4588 
9.291  5703 

X"I 

IIIO 

1115 

1x15 

1  1  1.1 

0.707  8758 
0.707  7643 
0.707  6527 
0.707  5412 
0.707  4297 

9.991  8191 
9.991  8151 
9.991  8100 
9.991  8068 
9.991  8027 

4» 
4* 
41 
4* 
41 

50 

40 
30 

20 
10 

6 

0 

9.284  4803 

IO72 

9.292  6817 

TTH 

0.7073183 

9.991  7986 

42 

O 

54 

IO 
20 

30 
40 

5° 

9.284  5876 
9.284  6949 
9.284  8021 
9.2849093 
9.285  0165 

1073 
X072 
IO72 
1072 

IO71 

9.292  7932 
9.292  9046 
9.293  0160 
9.293  1273 
9.293  2387 

III4 
III4 
III3 
III4 

TTTl 

0.707  2068 
0.707  0054 
0.706  9840 
0.706  8727 
0.706  7613 

9.991  7944 
9.991  7903 
9.991  7862 
9.991  7820 
9.991  7779 

4» 
4* 

4* 
4* 
42 

5° 
40 
30 
20 

IO 

7 

o 

9.285  1237 

IO7Z 

9.293  3500 

III2 

0.706  6500 

9.991  7737 

41 

0 

53 

10 

20 

3° 

40 

5° 

9.285  2308 
9.285  3380 
9.285  4450 
9.285  5521 
9.285  6591 

1072 
IO70 
IO7I 
IO70 
IO7O 

9.293  4612 

9-»93  57*5 
9.293  6837 

9-*93  7949 
9.293  9061 

I"3 
III! 
III2 
XII2 
IIII 

0.706  5388 
0.706  4275 
0.706  3163 
0.706  2051 
0.706  0939 

9.991  7696 
9.991  7655 
9.991  7613 
9.991  7572 
9.991  7530 

4» 
41 

4i 
4» 
41 

5° 
40 
30 

20 
10 

8 

0 

9.285  7661 

IO7O 

9.2940172 

III2 

0.705  9828 

9.991  7489 

41 

O 

52 

IO 
20 

3° 

40 
50 

9.285  8731 
9.285  9801 
9.286  0870 
9.286  1939 
9.286  3007 

IO7O 
1069 
1069 
1068 
Io6o 

9.294  1284 
9.294  2394 
9.294  3505 
9.2944616 
9.294  5726 

IIIO 
IIII 
IIII 
IIIO 
IIIO 

0.705  8716 
0.705  7606 
0.705  6405 

0.705  53»4 
0.705  4274 

9.991  7448 
9.991  7406 
9.991  7365 
9.991  7313 
9.991  7282 

4* 
4» 
42 

4* 

42 

50 
40 

3° 

20 
10 

9 

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9.286  4076 

IO68 

9.2946836 

IIOO 

0.705  3164 

9.991  7240 

41 

0 

51 

IO 

20 
3° 

40 

5° 

9.286  5144 
9.286  6212 
9.286  7279 
9.286  8347 
9.286  9414 

1068 
1067 
1068 
1067 

9.294  7945 
9.294  9055 
9.295  0164 
9.295  1273 
9.295  2381 

IIIO 

1109 

IIOO 

tiol 

1108 

0.705  2055 
0.705  0045 
0.7040836 
0.704  8727 
0.704  7619 

9.991  7199 
9.991  7157 
9.991  7116 
9.991  7074 
9.991  7033 

4* 

4i 
42 

4i 
42 

50 

40 
30 
2O 
10 

10 

o 

9.287  0480 

9.295  3489 

0.7046511 

9.991  6991 

0 

50 

r 

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Cos 

d. 

Cotg 

d.c. 

Tang 

Sin 

d. 

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Cotg 

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1 

10 

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9.187  0480 

IO67 

9.195  3489 

1108 

0.7046511 

9.991  6991 

O 

50 

10 
10 

30 
40 

50 

9.187  i<47 
9.187  1013 
9.187  3679 
9.a8?  4745 
9.287  5810 

1066 
1066 
1066 
1065 
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9-195  4597 
9-»95  5705 
9.195  6813 
9.195  7980 
9.195  9017 

1  1  08 
1108 
1107 
1107 

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0.704  5403 
0.7044195 
0.7043187 
0.7043080 
0.7040973 

9.991  6940 
9.991  6908 

9.991  6866 
9.991  6815 
9.991  6783 

41 
4« 
41 
4» 

41 

50 
40 
30 

10 
IO 

11 

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9.187  6875 

io6< 

9.2960134 

1  1  06 

0.703  9866 

9.991  6741 

41 

o 

49 

10 

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3° 
40 

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9.187  7940 

9-i87  9«>5 
9.188  0069 
9.288  1133 
9.188  2197 

1065 
1064 
1064 
1064 
1064 

9.296  1140 
9.196  1347 
9.196  345| 
9.196  4558 
9.196  5664 

IIO7 
I  IOO 

1105 
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JIO< 

0.703  8760 
0.703  7653 
0.703  6547 

0.7035441 
0.703  4336 

9.991  6700 

9.991  6658 
9.991  66x7 
9.991  6575 
9.991  6533 

4* 
4* 
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4* 

41 

50 
40 
30 

IO 
IO 

12 

o 

9.288  3260 

1064 

9.196  6769 

no? 

0.703  3131 

9.991  6491 

42 

o 

48 

10 

10 

30 
40 
50 

9.1884314 
9.1885387 
91886449 
9.2887511 
9.188  8574 

1063 
1061 
1063 
1061 
1061 

9-«9f  7874 
9.1968978 
9.1970083 
9.197  1187 
9.197  1191 

1104 
1x05 
1104 
1104 
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0.703  1116 

O.7O3  IO22 
0.701  9917 
O.7O1  8813 
0.701  7709 

9.991  6450 
9.991  6408 

9.991  6366 

9.991  6315 
9.991  6283 

4* 
4» 
4» 
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41 

50 
40 

30 

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13 

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9.188  9636 

1061 

9.197  3395 

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O.7O1  6605 

9.991  6241 

41 

o 

47 

10 

00 

30 
40 
50 

9.1*90697 
9.189  1759 
9.189  1810 
9.189  3881 
9.1894941 

1061 
1061 
1061 
1060 
1060 

9-*974498 
9.197  5601 

9.197  6704 

9.197  7806 
9-197  8909 

XI03 
XX03 

1  1  02 
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11  02 

O.7O1  5501 
0.701439Q 
0.701  3196 
O.7O1  1194 
O.701I09I 

9.991  6190 
9.991  6158 

9.991  6116 
9.991  6074 
9.991  6031 

4» 
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41 

5<> 
40 

30 

20 
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14 

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9.289  6001 

1060 

9.198  ooi  i 

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0.701  9989 

9-99»  5990 

41 

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46 

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9.189  7061 
9.289  8121 
9.289  9181 
9.1900140 
9.1901199 

1060 

1060 
1059 
1050 
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9.198  1x23 

9.198  22  1  A 
9.1983316 
9.1984417 
9.1985517 

xxox 

1  1  01 

xxox 

1  1  00 

xxox 

0.701  8887 
O.7OI  7786 
O.7OX  6684 
0.701  5583 
0.70X4483 

9-991  5949 
9.991  5907 
9.991  5865 
9.991  5813 
9.991  5781 

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50 
40 
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9.190  *357 

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9.198  66l8 

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9-99»  5739 

41 

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45 

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30 
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9.1903416 
9.a904474 
9.190  5«a 
9.290  0580 
9.290  7640 

1058 
1058 
1057 
1057 
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9.198  8818 
9.1989918 
9.199  1017 
9.299  1117 

1  1  00 
1  1  00 

1099 

1  1  00 
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0.701  Il8l 

0.701  xi  81 

0.70X0081 
O.7OO  8083 
0.700  7883 

9.991  5698 
9.991  5656 
9.991  5614 
9.991  5571 
9-991  553° 

4* 
4* 

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41 
41 

50 
40 
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16 

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9.3908704 

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9.199  3116 

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0.7OO  6784 

9-991  5488 

41 

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9.190  9760 
9.191  0817 
9.191  1873 
9.191  3919 
9-a9i  3985 

1057 
1056 
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9-*9943i4 
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9-199S5IX 

9-199  7*09 
9.299  8707 

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0.7004587 
0.700  3489 
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0.700  1293 

9.991  5446 
9.991  5404 
9.991  5361 
9.991  5310 
9.991  5178 

4* 
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9.191  5040 

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9.1999804 

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O.7OO  0196 

9-991  5*3* 

41 

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43 

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10 

30 
40 
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9.191  6095 
9.191  7150 
9.191  8105 
9.191  9159 
9.a9ao3is 

1055 

1055 
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9.3000901 
9.300  1998 
9.3003095 
9.300  4101 
9.300  5188 

1097 
1097 
1096 
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IOQS 

0.6998002 
0.699  6905 
0.699  5809 
0.6994711 

9.991  5194 
9.991  5151 
9.991  5110 
9.991  5068 
9.991  5016 

41 
4* 
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50 

40 
30 

20 
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18 

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9.891  1367 

IOC4 

9.3006383 

IOq6 

0.699  36«7 

9.991  4984 

41 

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42 

10 

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30 
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9.191  1411 
9.191  3474 

9-1914517 
9.393  «8o 
9_i9_i  0631 

1053 
1053 
1053 
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9.300  7479 
9.300  8574 
9.3009670 
9.301  0764 
9.301  1859 

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1096 
1094 
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0.699  1511 
0.699  1416 
0.694  0330 
0.698  0136 
0.698  8141 

9.991  4941 
9.991  4900 
9.991  4858 
9-991  4815 
9.991  4773 

4» 

4* 
43 
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4-1 

50 
40 
30 

IO 
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19 

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9.292  7685 

IO<1 

9.301  1954 

IOQ4 

0.698  7046 

9.991  4731 

42 

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41 

IO 

ao 
30 
40 
50 

9-191  8737 
9,3939788 
9.893  0840 

9-193  »89i 
9.293  2942 

IO5I 
IO51 
IO5I 
IO5I 
IOC  I 

9.301  4048 
9.301  5141 
9.301  6135 
9.301  7328 
9.301  8422 

1094 
1093 
1093 
1094 

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0.698  5051 
0.6984858 
0.698  3765 
0.698  1671 
0.698  1578 

9.991  4689 
9-991  4647 
9-991  4605 
9-991  4563 
9.991  4520 

41 
41 
41 

43 

41 

50 
40 

30 

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IO 

20 

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9-193  3993 

9.3019514 

0.698  0486 

9.991  4478 

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40 

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Cos 

d. 

Cotg 

d.c. 

Tang 

Sin 

d. 

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358 


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20 

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9-*93  3993 

IOSO 

9.301  9514 

IOQI 

0.698  0486 

9.991  4478 

0 

40 

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20 
30 
40 
50 

9.293  5043 
9.293  6093 
9.293  7143 
9.293  8193 
9.293  9242 

1050 
IO50 
1050 

I«49 
XO4Q 

9.3020607 
9.302  1699 

9-30a  2701 
9.302  3883 

9.302  4975 

1092 
IO92 
1092 
1092 
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0.697  0393 
0.697  8301 
0.697  7*09 
0.697  6117 
0.697  5025 

9.991  443-6- 
9-991  4394 
9.991  4352 
9.991  4309 
9.991  4267 

4* 
4* 
43 

4* 

42 

50 

40 
30 
2O 
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21 

0 

9.294  0291 

IO4Q 

9.302  6066 

IOQI 

0-697  3934 

9.991  4225 

4.2 

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39 

IO 
20 
30 
40 
50 

9.294  1340 
9.294  2388 
9.294  3417 
9.294  4485 
9.294  5532 

1048 
1049 

1047 

9-30»  7157 
9.302  8248 
9.302  9339 
9.303  0429 
9.303  1519 

1091 
1091 
IO90 
1090 
IOQO 

0.697  2843 
0.697  1752 
0.697  0661 
0.696  9571 

9.991  4183 
9.991  4140 
9.991  4098 
9.991  4056 
9.991  4013 

43 
4* 

43 

4*. 

5° 
40 
30 
20 

IO 

22 

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9.294  6580 

IO47 

9.303  2609 

IOQO 

0.696  7391 

9-99'  397i 

o 

38 

10 

20 

30 
40 
50 

9.294  7627 
9.294  8674 
9.294  9721 
9.295  0767 
9.295  1814 

1047 
1047 
1046 
1047 
IOJ.C 

9-303  3699 
9-303  47»8 
9-303  5877 
9.303  6966 
9.303  8054 

1089 
1089 
I08Q 
I088 

Io8q 

0.696  6301 
0.696  5212 
0.6964123 
0.696  3034 
0.696  1946 

9.991  3029 
9.991  3886 
9.991  3844 
9.991  3802 
9-991  3759 

43 
4* 
4* 
43 

41 

5° 
40 
30 

20 
10 

23 

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9.295  2859 

iod.6 

9.303  9143 

1088 

0.696  0857 

9.991  3717 

0 

37 

10 

20 

30 
40 
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9.295  3905 
9.295  4950 
9.295  5996 

9-*95  7041 
9.295  8085 

1045 
1046 
1045 
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9.3040231 
9.304  1318 
9.3042406 

9-304  3493 
9.304  4580 

1087 
1088 
1087 
1087 
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0.695  0769 
0.695  8682 
0.695  7594 
0.695  6507 
0.695  5420 

9.991  3674 
9.991  3632 
9.991  3590 
9-991  3547 
9.991  3505 

4* 
43 

50 

40 

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20 

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24 

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9.295  9129 

I04S 

9.304  5667 

IO87 

0.695  4333 

9.991  3462 

42 

o 

36 

IO 

20 

30 
40 
50 

9.296  0174 
9.296  1217 
9.296  2261 
9.296  3304 
9.296  4347 

1043 
1044 

1043 
1043 
1043 

9.304  6754 
9.304  7840 
9.304  8926 

9.305  0012 

9.305  1097 

1086 
1086 
1086 
1085 
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0.695  3246 
0.695  *J6o 

0.695  1074 
0.6940988 
0.694  8903 

9.991  3420 
9.991  3377 

9-99'  3335 
9.991  3292 
9.991  3250 

43 
4* 
43 
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5° 
40 

30 

20 

10 

25 

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9.296  5390 

1043 

9.305  2183 

1085 

0.6947817 

9.991  3207 

42- 

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35 

IO 
20 
30. 
40 

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9.296  6433 
9.296  7475 
9.296  8517 
9.296  9559 
9.297  0600 

1042 
1042 
1042 
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9.305  3268 

9-305  4353 
9-305  5437 
9.305  6521 
9.305  7605 

1085 
1084 
1084 
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1084 

0.694  6732 
0.694  5647 
0.6944563 

0-694  3479 
0.694  2395 

9.991  3165 
9.991  3122 
9-991  3080 
9.991  3037 
9.991  2995 

43 
4* 
43 
4* 

50 
40 
30 

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26 

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9.297  1641 

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9.305  8689 

1084 

0.694  1311 

9.991  2952 

42 

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34 

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20 

30 
40 
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9.297  2682 
9.297  3723 
9.297  4763 
9.297  5804 
9.297  6844 

1041 
I04O 
1041 
1040 
IO3O 

9-305  9773 
9.306  0856 
9-306  1939 
9.306  3022 
9.306  4105 

1083 
1083 
1083 
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0.694  0227 
0.693  9144 

0.693  BOO  I 
0.693  6978 
0.693  5»95 

9.991  2QIO 
9.991  2867 
9.991  2824 
9.991  2782 
9.991  2739 

43 
43 
4* 
43 

50 
40 
30 

20 

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9.297  7883 

9.3065187 

1082 

0.693  4813 

9.991  2696 

42 

0 

33 

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20 
30 
40 
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9.297  8923 
9.297  9962 
9.298  i  ooi 
9.298  2039 
9.298  3078 

1039 
1030 
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9.306  6269 
9.3067351 
9.306  8432 
9.3069514 
9-307  0595 

1082 

1081 
1082 

1081 
1080 

0.693  373  i 
0.693  a^49 
0.693  1f68 
0.693  0486 
0.692  9405 

9.991  2654 
9.991  26ll 
9.991  2568 
9.991  2526 
9.991  2483 

43 
43 

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43 

50 
40 
30 

20 

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28 

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9.298  4116 

IO3B 
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9.307  1675 

1  08  1 

0.692  8325 

9.991  2440 

41 

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32 

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20 

30 
40 
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9.298  5154 

9.298  6191 
9.298  7229 
9.298  8266 
9.298  9303 

1037 
1038 
1037 
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9.307  2756 
9.307  3836 
9.307  4916 
9.307  5996 
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1080 
1080 
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IO7Q 

0.692  7244 
0.692  6164 
0.692  5084 
0.692  4004 
0.692  2924 

9.991  2398 
9.991  2355 
9.991  2312 
9.991  2269 
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43 
43 
43 
4* 

50 
40 
30 

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29 

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9.299  0339 

9.307  8155 

IO7Q 

0.692  1845 

9.991  2184 

A-l 

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31 

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20 

30 
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9.299!  375 
9.2992411 

9-*99  3447 
9.299  4485 
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IO36 
1036 
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9.3080313 
9.308  1392 
9.308  2470 
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1079 
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1078 
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0.692  0766 
0.691  9687 
0.691  8608 
0.691  7530 
0.691  6452 

9.991  2141 
9.991  2098 
9.991  2056 
9.991  2013 
9.991  1970 

43 
4* 
43 
43 

50 
40 
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30 

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9.299  6553 

9.308  4626 

0.691  5374 

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0.691  5374 

9.991  1927 

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9.299  7588 
9.299  8622 
9.299  9657 
9.3000691 
9.300  1724 

1034 
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9.308  5704 
9.308  6781 
9.308  7858 
9.308  8935 
9.3090012 

1077 
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0.691  4296 
0.691  3219 
0.691  2142 
0.691  1065 
0.690  9988 

9.991  1884 
9.991  1841 
9.991  1799 
9.991  1756 
9.991  1713 

43 

4i 
43 

43 

A? 

50 
40 
30 

20 

10 

31 

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9.300  2758 

IO31 

9.309  1088 

1076 

0.690  8912 

9.991  1670 

0 

29 

IO 

20 

3° 
40 

50 

9.300  3791 
9.300  4824 
9.300  5857 
9.300  6889 
9.300  7921 

1033 

1033 
1032 
IO32 
IO12 

9.309  2164 
9.309  3240 
9.3094316 
9.309  5391 
9.309  6466 

1076 
1076 
1075 
1075 

IO7S 

0.690  7836 
0.690  6760 
0.690  5684 

0.6904609 
0.6903534 

9.991  1627 
9.991  1584 
9.991  1541 
9.991  1498 
9.991  1455 

43 
43 
43 
43 

50 

40 
30 

20 
IO 

32 

0 

9.300  8953 

IO32 

9.309  7541 

IO7« 

0.690  2459 

9.991  1412 

O 

28 

IO 

20 

30 
40 

5° 

9.300  9985 
9.301  1017 
9.301  2048 
9.301  3079 
9.301  4109 

IO32 
1031 
1031 
1030 
IO1I 

9.309  8616 
9.309  9690 
9.3100764 
9.310  1838 
9.3102912 

1074 
1074 
1074 
1074 
IO71 

0.690  1384 
0.6900310 
0.689  0236 
0.689  8162 
0.689  7088 

9.991  1369 
9.991  1326 
9.991  1283 
9.991  1240 
9.991  1197 

43 
43 
43 
43 

A* 

50 

40 

30 

20 
10 

33 

o 

9.301  5140 

IOW 

9.310  3985 

IO74 

0.689  6015 

9.991  1154 

O 

27 

10 

10 

30 
40 

50 

9.301  6170 
9.301  7200 
9.301  8229 
9-3°i  9250 

9.302  0288 

1030 
1029 
1030 
1029 

IO2Q 

9.3105059 
9.3106132 
9.3107204 
9.3108277 
9.3109349 

1073 
IO72 
1073 
1072 

IO72 

0.6894941 
0.689  3868 
0.689  2796 
0.689  1723 
0.689  065  l 

9.991  mi 
9.991  1068 
9.991  1025 
9.991  0982 
9.991  0939 

43 
43 
43 
43 

50 

40 
30 

20 
10 

34 

o 

9.3021317 

IO2Q 

9.311  0411 

1O72 

0.688  9579 

9.991  0896 

0 

26 

IO 

20 

3° 
40 

5° 

9.302  2346 

9.30*  3374 
9.302  4402 
9.302  5430 
9.302  6458 

1028 
1028 
1028 
1028 

IO27 

9.311  1493 
9.311  2564 
9.311  3635 
9.311  4706 
9.311  5777 

1O71 

IO7I 
IO7I 
1071 
IO7I 

0.688  8507 

0.688  6365 
0.688  5294 
0.688  4223 

9.991  0853 
9.991  0810 
9.991  0767 
9.991  0723 
9.991  0680 

43 
43 
44 
43 
43 

50 
40 
30 

20 
IO 

35 

0 

9.302  7485 

1027 

9.311  6848 

IO7O 

0.6883152 

9.991  0637 

43 

O 

25 

IO 

20 

3° 
40 

5° 

9.302  8512 

9-3°*  9539 
9.303  0566 
9.303  1592 
9.303  2618 

1027 
1027 
IO26 
1026 
IO26 

9.311  7918 
9.311  8988 
9.3120058 
9.3121127 
9.3122197 

1070 
1O7O 
1069 
1O7O 
1060 

0.688  2082 
0.688  1012 
0.687  9942 
0.687  8873 
0.687  7803 

9.991  0594 
9.991  0551 
9.991  0508 
9.991  0464 
9.991  0421 

43 
43 
44 
43 

50 
40 
30 
2O 
IO 

36 

o 

9.303  3644 

IO2* 

9.3123266 

1060 

0.687  6734 

9.991  0378 

A3 

o 

24 

10 

20 

3° 
40 
50 

9.303  4669 
9.303  5695 
9.303  6720 

9-303  7745 
9.303  8769 

1O26 
IO25 
1025 
IO24 

ion 

9-3"  4335 
9.312  5403 
9.3126472 
9.3127540 
9.312  8608 

1068 
1069 

•oil 

1068 

1067 

0.687  5665 
0.687  4597 
0.687  35" 
0.687  2460 
0.687  1392 

9.991  0335 
9.9910292 
9.991  0248 
9.991  0205 
9.991  0162 

43 
44 
43 
43 

50 
40 
30 

20 
IO 

37 

o 

9.303  9794 

IO24. 

9.312  9675 

1068 

0.687  0325 

9.9910119 

AA 

o 

23 

IO 

20 

3° 

40 

5° 

9.3040818 
9.304  1842 
9.304  2865 
9.304  3889 
9.3044912 

IO24 
IO23 
IO24 
IO23 
IO22 

9-3130743 
9.313  1810 
9.313  2877 

9-3^3  3943 
9.313  5010 

1067 
1067 

1066 

1067 
1066 

0.686  0257 
0.686  8190 
0.686  7123 
0.686  6057 
0.686  4990 

9.991  0075 

9.991  0012 
9.9909989 

9.990  9945 
9.9909902 

43 
43 
44 
43 

50 

40 
30 

20 
10 

38 

0 

9-304  5934 

I  Oil 

9.3136076 

1066 

0.686  3924 

9.9909859 

44 

O 

22 

10 
20 

3° 

40 

5° 

9.304  6957 
9.304  7979 
9.304  9001 
9.305  0023 
9.305  1045 

IO22 
IO22 
IO22 
1022 
IO2I 

9.313  7142 
9.313  8207 

9-3  »3  9*73 
9.3140338 
9.314  1403 

1065 
1066 
1065 
1065 
io6< 

0.686  2858 
0.686  1793 
0.686  0727 
0.685  4662 
0.685  »597 

9.9909815 
9.9909772 
9.990  9729 
9.9909685 
9.990  9642 

43 

43 
44 
43 
44 

5° 
4° 
3° 

20 
10 

39 

o 

9.305  2066 

IO2I 

9.3142468 

ic6d 

0.685  7532 

9.990  9598 

0 

21 

IO 
20 

3«> 

40 

5° 

9.305  3087 
9.305  4108 
9.305  5129 
9.305  6149 
9.305  7169 

IO2I 
1021 

1010 
1010 
IO2O 

9-314  353* 
9-3*4  4597 
9.3145661 
9.3146724 
9.3147788 

1065 
1064 
1063 
1064 
1061 

0.685  6468 
0.685  5403 
0.685  4339 
0.685  3276 

0.685  2212 

9-9909555 
9.9909512 
9.9909468 
9.9909425 
9.990  9381 

43 
44 
43 
44 

50 
40 
30 
20 
10 

40 

0 

9.305  8189 

9.3148851 

0.685  1149 

9.9909338 

O 

20 

i 

II 

Cos 

<L 

Cotg 

d.c. 

Tang 

Sin 

d. 

a 

i 

78° 


360 


ir 


1 

M 

Sin 

<L 

Tang 

d.c. 

Cotg 

Cos 

d. 

N 

1 

40 

o 

9.305  8189 

1OOO 

9.3148851 

1064 

0.685  **49 

9.9909338 

4iA 

O 

20 

IO 
00 

30 
40 
50 

9.305  9000 

9.306  0008 

9.306  1047 

9.306  0066 

9.306  3084 

1019 
1019 

IOIQ 
I0l8 
IOIQ 

9.314  9914 
9.315  0977 
9.315  0040 
9-315  3»oo 
9.315  4164 

1063 
1063 
1060 
1060 
1060 

0.685  0086 
0.684  9003 
0.684  796° 
0.684  6898 
0.684  5836 

9.9909094 
9.9909051 
9.9909007 
9.9909164 
9.9909100 

43 
44 
43 
44 
47 

50 
40 
30 

oo 

IO 

41 

o 

9.306  4303 

1018 

9-3I5  5«6 

1060 

0.6844774 

9.9909077 

4-4 

o 

19 

10 
00 

30 
40 
50 

9.306  5301 
9.306  6339 
9.306  7356 
9.306  8373 
9.306  9391 

1018 
1017 

IOI7 
I0l8 

!Ol6 

9.315  6088 

9-3*5  7349 
9.315  8410 

9-3*5  947* 
9.316  0530 

1061 
1061 
1061 

1061 
1060 

0.6843712 
0.6840651 
0.684  *59° 
0.6840509 
0.683  9468 

9.9909033 
9.990  8990 
9.990  8946 
9.990  8900 
9.990  8859 

43 
44 
44 
43 

AA 

50 
40 
30 

oo 

IO 

42 

o 

9.3070407 

ion 

9.3161590 

1060 

0.683  8408 

9.9908815 

o 

18 

IO 

00 

30 
40 
50 

9.307  1404 
9.307  0440 
9-307  3456 

9-307  447* 
9.307  5488 

IOl6 

1016 
1016 

1016 

9.316  0650 
9.3163710 
9.3164770 
9.316  5830 
9.3166891 

1060 
1060 
1060 
1059 

1OCQ 

0.683  7348 
0.683  6*88 
0.683  5008 
0.683  4*68 
0.683  3*°9 

9.990  8770 
9.9908708 
9.9908684 
9.990  8641 
9.990  8597 

44 
44 
43 

44 
44 

50 
40 
30 

oo 

IO 

43 

0 

9.307  6503 

9.3167950 

1OCO 

0.683  0050 

9.9908553 

o 

17 

10 

00 

30 
40 
50 

9.3077518 
9-307  8533 
9-307  9548 
9.308  0560 
9.308  1576 

1015 
1015 
1014 
1014 

9.3169009 
9.3170067 
9.317  1105 
9.3170184 
9.317  3041 

1058 
1058 
1059 
1057 
1O58 

0.683  °99* 
0.680  9933 
0.682  8875 
0.6827816 
0.682  6759 

9.9908510 
9.990  8466 
9.990  8400 
9.990  8379 
9.990  8335 

44 
44 
43 

44 
44 

50 

40 
30 

00 
IO 

44 

o 

9.308  0590 

1014 

9.3174299 

1OC-7 

0.682  5701 

9.990  8291 

0 

16 

IO 

oo 

30 
40 
50 

9.308  3604 
9.308  4617 
9-308  5630 
9.308  6643 
9.308  7656 

1013 
1013 
1013 
1013 

1010 

9.3I7S356 
9.317  6413 
9.3*77470 
9.3178507 

9-3*79583 

1057 
1057 
1057 
1056 
IO57 

0.682  4644 
0.680  3587 
0.682  0530 
0.680  1473 
0.6800417 

9-990  8247 
9.990  8004 
9.990  8160 
9.9908116 
9.990  8070 

43 
44 
44 
44 
43 

50 
40 
30 

00 
10 

45 

o 

9.308  8668 

XOIO 

9.3180640 

IO56 

0.681  9360 

9.990  8019 

44 

o 

15 

10 

00 

30 
40 
50 

9.308  9680 
9.309  0690 
9.309  1704 
9.3090715 
9.309  3706 

IOIX 
1010 
1  01  1 
IOII 
IOII 

9.318  1696 
9.318  0751 
9.3183807 
9.3184860 
9.3185917 

I05< 
1056 

*055 
1055 

I0(( 

0.681  8304 
0.68  1  7249 
0.681  6193 
0.68  1  5138 
0.6  8  1  4083 

9.990  7985 
9.990  7041 
9.9907897 
9.9907853 
9.990  7810 

44 
44 
44 
43 
44 

50 

40 
30 

00 
10 

48 

o 

9-309  4737 

IOII 

9.3186970 

IOCA 

0.681  3008 

9.990  7766 

44 

o 

14 

10 

oo 

30 
40 
50 

9.309  5748 
9.309  6759 
9.309  7769 
9.309  8770 
9.309  9788 

IOII 
IOIO 

1010 

1009 

IOIO 

9.3188006 
9.3189081 
9.319  0135 
9.319  1  1  88 
9.319004* 

1055 
1054 
1053 
1054 

iocs 

0.681  1974 
0.68  1  0019 
0.680  0865 
0.6808810 
0.680  7758 

9-990  77" 
9.990  7678 
9.9907634 
9-990  7590 
9.9907546 

44 
44 
44 
44 
44 

50 

40 
30 

20 

IO 

47 

o 

9.3100798 

1OOQ 

9.3193095 

10(4. 

0.680  6705 

9.990  7500 

44 

o 

13 

IO 

00 

30 

40 

50 

9.310  1807 
9.3100816 
9.3103805 
9.3104833 
9.3105841 

1009 

IOOQ 

1008 
1008 

1008 

9-3*94349 
9.3195401 
9.3196454 

9-3*9  7507 
9.3198559 

1050 

1053 
1053 

1050 

IO(O 

0.6805651 
0.680  4599 
0.680  3546 
0.680  0493 
0.680  1441 

9.9907458 
9.990  7414 
9.9907371 
9.990  7307 
9.990  7083 

44 
43 
44 
44 
44 

50 

40 
30 

oo 

IO 

48 

0 

9.3106849 

1008 

93199611 

IOC  I 

0.680  0389 

9.990  7039 

44 

o 

12 

10 

00 

30 
40 
50 

9.3107857 
9.3108864 
9.310  9870 
9.3110875 
9.311  1886 

1007 
1008 
1007 
1007 

1006 

9.300  0660 
9.300  1714 
9.300  0765 
9.3003816 
9.3004867 

1052 
1051 
1051 
1051 

IOC  I 

0-679  9338 
0.679  8086 
0.679  7055 
0.679  6184 
0-679  5*33 

9.990  7195 

9-9907*5* 
9.9907107 
9.990  7063 
9.990  7019 

44 
44 

44 
44 
45 

50 

40 
30 

00 
IO 

49 

o 

9.311  0890 

9.3005918 

IO<O 

0.679  4080 

9.990  6974 

44 

o 

11 

10 

oo 

30 
40 
50 

9.311  3898 
9.3114904 
9.311  5910 
9.311  6916 
9.311  7901 

1006 
1006 
1006 
1005 

IOOC 

9.300  6968 
9.3208018 
9.300  9068 
9.301  0117 
9.301  1167 

1050 
1050 
1049 
1050 

IQ4.Q 

0.679  3030 
0.679  1900 
0.679  O931 
0.678  9883 
0.678  8833 

9.990  6930 
9.990  6886 
9.9906840 
9.9906798 
9.990  6754 

44 
44 
44 
44 
44 

50 

40 
30 

oo 

IO 

50 

o 

9.311  8906 

9.321  0016 

0.678  7784 

9.9906710 

o 

10 

• 

II 

Cos 

d. 

Cotg 

d.c. 

Tang 

Sin 

d. 

II 

1 

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361 


1 

N 

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d. 

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ic. 

Cotg 

Co. 

d. 

H 

1 

50 

0 

9.311  8926 

1OOC 

9.321  2216 

1O4Q 

0.678  7784 

9.990  6710 

44 

o 

10 

10 
20 

3° 
40 

5° 

9.3119931 
9.3120935 
9.312  1940 
9.312  2944 
9.312  3948 

1004 
1005 
1004 
1004 

lOOt 

9.321  3265 
9.3214314 
9.321  5362 
9.321  6410 
9.321  7458 

1040 
1048 
1048 
1048 

IO4.8 

0.678  6775 
0.678  5686 
0.678  4638 
0.678  3590 
0.678  2542 

9.990  6666 
9.990  6622 
9.990  6578 
9.990  6553 
9.9906489 

44 
44 
45 
44 
41 

50 

40 
30 
20 

IO 

51 

o 

9.3124951 

1OO4 

9.321  8506 

1048 

0.678  1494 

9.990  6445 

44 

o 

9 

10 
20 

30 

40 

5« 

9-3**  595  5 
9.3126958 
9.312  7961 
9.312  8963 
9.312  9966 

1003 
1003 
1002 
1003 
XOO2 

9-3**  9554 
9.322  0601 
9.322  1648 
9.322  2695 
9.322  3742 

1047 
1047 
1047 
1047 

IO4.6 

0.67$  0446 
0.677  0399 
0.677  8352 
0.677  730? 
0.677  6258 

9.9906401 
9.990  6357 
9.9906311 
9.990  6268 
9.990  6224 

44 
44 
45 
44 
44 

50 
40 
30 

20 
IO 

52 

O 

9.3130968 

IOO2 

9.322  4788 

1046 

0.677  5*** 

9.990  6180 

44 

O 

8 

10 

20 

30 
40 
50 

9.313  1970 
9.313  2971 
9-3I3  3973 
9-3*3  4974 
9-3*3  5975 

10CI 

1002 
1  001 
1  001 
IOOI 

9.322  5814 
9.322  6880 
9.322  7926 
9.322  8971 
9.323  0016 

1046 
1046 

1045 
1045 

IO4{ 

0.677  4*66 
0.677  3120 
0.677  2074 
0.677  1029 
0.676  9984 

9.9906136 
9.9906091 
9.990  6047 
9.990  6003 
9.990  5959 

45 
44 
44 
44 
45 

50 

40 

30 

20 

10 

53 

0 

9.313  6976 

IOOO 

9.323  1061 

IOAC 

0.676  8939 

9.990  5914 

44 

o 

7 

10 
20 
30 
40 

5° 

9.313  7976 
9.313  8976 
9.313  9976 
9.3140976 
9.3141976 

1000 
IOOO 
IOOO 

IOOO 
QQQ 

9.323  2106 
9.323  3151 
9-3*3  4*95 
9-3*3  5*39 
9-3*3  6*83 

1045 
1044 
1044 
1044 

1  044 

0.676  7894 
0.676  6849 
0.676  5805 
0.676  4761 
0.676  3717 

9.990  5870 
9.9905826 
9.990  5781 

9-9905737 
9.990  5693 

44 
45 
44 
44 
45 

50 
40 
30 

20 

IO 

54 

0 

9-3i4a975 

QOQ 

9.323  7327 

IO43 

0.676  2673 

9.990  5648 

44 

o 

6 

10 

to 

30 
40 
50 

9-3*43974 
9-3*44973 
9.3145971 
9.314  6969 

9.3147967 

998 
998 
998 
998 

9-3*3  8370 
9-3*3  94*3 
9.3240456 
9.324  1499 
9.324  2541 

*043 

1043 
1043 

1042 
1043 

0.676  1630 
0.676  0587 

0-675  9544 
0.675  8501 

0.675  7459 

9.9905604 
9-990  5559 

9-99055*5 
9.9905471 
9.990  5426 

45 
44 
44 
45 
44 

50 

40 

30 

20 

10 

55 

0 

9.314  8965 

998 

9-3*4  3584 

1042 

0.675  6416 

9.990  5382 

41 

o 

5 

10 

30 

3° 

40 

5° 

9.3149963 
9.315  0960 
9-3*5  *957 
9-3*5  *954 
9-3*5  395* 

997 
997 
997 
997 

QQQ 

9.32446*6 
9.324  5667 
9.324  6709 

9-3*4  7750 
9.324  8791 

1041 
1042 
1041 
1041 

IO4I 

0-675  5374 
0-675  4333 
0-675  3*9* 
0.675  **5° 
0.675  **°9 

9.9905337 
9-990  529? 
9.990  5248 
9.9905204 
9.990  5159 

44 
45 
44 

45 

44 

50 
40 
30 

20 
10 

56 

0 

9-3*5  4947 

qq6 

9.324  9832 

IO4I 

0.675  °*68 

9.9905115 

4; 

O 

4 

10 

20 

30 
40 
50 

9-3*5  5943 
9-3*5  0939 
9-3*5  7935 
9-3*5  8930 
9-3*5  99*6 

996 
996 

GQC 

qqc 

9-3*5  0873 
9-3*5  *9*3 
9.325  2953 

9-3*5  3993 
9.325  5033 

1040 
1040 
1040 
1040 
1040 

0.674  0127 
0.674  8087 
0.674  7047 
0.674  6007 
0.6744967 

9.990  5070 
9.990  5026 
9.9904981 
9-99Q4937 
9.9904892 

44 
45 
44 

45 
44 

50 
40 
30 
2O 
IO 

57 

o 

9.3160921 

004 

9.325  6073 

IO10 

0.674  3927 

9.9964848 

45 

o 

3 

10 

20 

30 

40 

5° 

9.316  1915 
9.316  2910 

9.316  300A 

9.3164*98 
9.316  5892 

995 
994 
994 
994 

QQl 

9.325  211* 
9-3*5  "5* 
9-3*5  9*90 
9.326  0228 
9.326  1267 

1039 
1030 

1038 

1030 

IOW 

0.674  *888 
0.674  1849 
0.674  0810 
0.673  9772 
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9.326  2305 

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9.326  9566 
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0.673  0434 
0.672  0398 
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9.990  4268 
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9-9904133 
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0.672  5255 

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0.672  4220 
0.671  3185 
0.672  2150 
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9.990  3999 

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9.3188683 
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0.671  8013 
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9.990  3730 
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9.319  1647 
9.319  1634 
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9.3188185 
9.318  9118 
9.329  0250 

9.329  1282 
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0.671  1815 
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0.670  9750 
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0.670  5624 
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9.9903192 
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0.668  7101 
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0.668  0943 
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9-333  1350 
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20 
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50 

40 

30 

20 
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50 
40 
30 

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10 

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50 
40 
30 

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0 

50 
40 
30 

20 

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50 

40 
30 

20 
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50 
40 
30 

20 

10 

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50 
40 
30 

20 

10 

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40 
39 
38 
37 
36 

35 
34 
33 

32 
31 

30 

9-3*9  6950 
9-3*9  79*3 
9.3*98f75 
9.3299838 
9.330  0800 

9.339  8400 
9-339  9409 
9.34004*7 
9.340  1425 

9-3402433 

0.6601600 
0.660  0501 
0.6599583 
0.659  8575 
0.659  7567 

9.989  8551 
9.989  8504 
9.989  8458 
9.989  8412 
9.989  8366 

9.330  1761 

9.340  3441 

0.6596559 

9.989  8320 

9-330*7*3 
9.3303684 

9-3304645 
9.330  s6o6 
9.3306567 

9.3404440 
9.340  5456 
9.3406464 

9-340747* 
9.340  8477 

0.659  555* 
0-659  4544 
0.659  353* 
0-659  *5*9 
0.659  *5*3 

9.989  8274 
9.989  8228 
9.989  8182 
9.989  8136 
9.989  8090 

9.3307527 

9.3409484 

0.6590516 

9.989  8043 

9.3308487 

9-3309447 
9.331  0407 

9-33*  *36? 
9-33  «  *3*6 

9.341  0490 
9.341  1496 

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9.341  3508 

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0.658  0510 
0.658  8504 
0.658  7498 
0.658  6402 
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9-989  7997 
9.989  7951 

9.989  7859 
9.989  7812 

9.331  3285 

9-34*  55'9 

0.6584481 

9.989  7766 

9.331  4244 
9.331  5203 
9.331  6161 
9.331  71x9 
9.331  8077 

9.341  6524 
9.341  7529 

9-34*  8534 
9.341  9538 
9.342  0542 

0.658  3476 
0.658  2471 
0.658  1466 
0.658  0462 
0.657  9458 

9.989  7720 
9.989  7674 
9.989  7627 
9-989  758i 
9-989  7535 

9-331  9035 

9.342  1546 

0.657  8454 

9.989  7489 

9-33*  9993 
9.3320950 

9-33*  *9°7 
9.332  2864 
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9.342  2550 
9-34*  3554 
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9.342  5560 
9.342  6563 

0.657  7450 
0.657  6446 
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0.657  3437 

9.989  7442 

9-989  7396 
9.989  7350 
9.989  7303 
9.989  7157 

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9.342  7566 

0.657  »434 

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9.332  6689 
9.332  7645 
9.332  8600 
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9.342  8569 
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9-343  0573 
9-343  *575 
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0.657  1431 
0.657  0429 
0.656  0427 
0.656  8425 
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9.9897164 
9.9897x18 
9.989  7072 
9.989  7025 
9.989  6979 

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9-343  3578 

0.656  6422 

9.989  6932 

9-333  *466 
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9-333  3375 
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9-343  458o 
9-343  558* 
9-343  6582 
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9-3438583 

0.656  5420 

0.65644*9 
0.656  3418 
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9.989  6886 
9.9896839 
9.989  6793 

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9.989  6700 

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9-343  9583 

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9.989  6654 

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9-3338144 
9-333  9097 
9.3340050 
9.334  1002 

9-3440583 
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9-344  *583 
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9.989  6607 
9.989  6561 

9-989  65*4 
9.989  6468 
9.989  6421 

9-334  '955 
9.334  2007 
9-334  3859 
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9-334  5763 
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9-344  S58o 

0.655  44*o 

9.989  6374 

9-344  6579 
9-344  7578 
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9-3449574 
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0.655  3421 
0.655  2422 
0.655  1424 
0.655  0426 
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9.989  6328 
9.989  6281 
9.989  6135 
9.989  6188 

9.989  6142 

9-334  7665 

9-345  *570 

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9.989  6095 

9.334  8616 
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9-345  >S68 
9-345  3565 
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9-345  5559 
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0.6547432 
0.654  6435 
0.654  5438 
0.654  4441 
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9.989  6048 
9.989  6002 

9.989  5908 
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9-335  3368 

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0.654  2448 

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40 
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9-335  5*67 
9.335  6116 
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9-335  8113 

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949 
949 
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9-345  8549 
9-345  9545 
9.346  0541 
9.346  1536 
9.346  2532 

996 
996 

995 

qoc 

0.654  1451 
0.6540455 

0-653  9459 
0.653  8464 
0.653  7468 

9.989  5768 
9.989  5722 

9-989  5675 
9.989  5628 
9.989  5582 

46 

47 

4I 
46 

47 

So 
40 
30 

20 
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31 

0 

9-335  9061 

Q<tft 

9.346  3527 

QQC 

0.653  6473 

9-989  5535 

47 

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29 

10 

20 

30 
40 

So 

9.3360010 
9.336  0958 
9.336  1006 
9.336  2854 
9.336  3801 

948 
948 
948 
947 
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9.3464522 
9-346  5517 
9.346  6511 
9.346  7506 
9.346  8500 

995 
995 
994 
994 

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0.653  5478 
0.653  44*3 
0.653  3488 
0.653  *494 
0.653  I5°° 

9.989  548« 
9.989  5441 

9-989  5395 
9.989  5348 
9.989  5301 

3 

47 
47 

47 

50 

40 
30 

20 
10 

32 

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9-336  4749 

047 

9.346  9404 

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0.653  0506 

9.989  5154 

47 

0 

28 

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40 

50 

9.336  5696 
9-336  6643 
9-336  7589 
9-336  8555 
9.336  9481 

947 
946 
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947 
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9-347  0488 
9-347  H8* 
9-347  *475 
9-347  3469 
9-347446* 

994 
993 
994 
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0.6519512 
0.652  8518 
0.652  7525 
0.652  6531 
0-652  5538 

9.9895207 
9.989  5161 
9.989  5114 
9.989  5067 
9.989  5020 

46 

47 
47 

47 
47 

50 
40 

30 

20 
10 

33 

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9-337  04*8 

04.  c 

9-347  5454 

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0.652  4546 

9.9894973 

47 

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27 

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20 

30 
40 

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9-337  »373 
9-337  *3*9 
9-337  3*64 
9.3374209 

9-3375^54 

946 

945 
945 

945 

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9-347  6447 
9-347  7439 
9-347  843* 
9.347  9414 
9.348  0415 

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0.652  3553 
0.652  2561 
0.652  1568 
0.6520576 
0.651  9585 

9.989  4026 

9-9894879 
9.989  4833 
9.9894786 
9.989  4739 

4I 
46 

47 
47 
47 

50 

40 
30 
20 
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9-337  6099 

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9.348  1407 

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0.651  8593 

9.989  4692 

47 

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10 
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30 

40 

50 

9-337  7°43 
9-337  7987 
9-337  8931 
9-337  9875 
9.3380819 

944 
944 
944 
944 
943 

9.348  2308 
9-348  3389 
9.3484380 
9-348  5371 
9.348  6362 

991 
991 

99* 
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0.651  7602 
0.651  6611 
0.651  5620 
0.651  4620 
0.651  3638 

9.989  464* 
99894598 
9.989  4551 
9.989  4504 
9.989  4457 

47 
47 
47 
47 
47 

50 

40 
30 

10 
10 

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9.338  1762 

943 

9-348  7352 

99° 

0.651  2648 

9.9894410 

47 

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25 

10 
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30 
40 

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9.338  2705 
9-338  3648 
9.338  4591 

9-3385533 
9.338  6476 

943 
943 
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943 

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9.348  8342 
9.348  9332 
9.349  0322 

9-349  >3" 
9.349  2301 

990 
900 
989 
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0.651  1658 
0.651  0668 
0.650  9678 
0.650  8689 
0.650  7699 

9.989  4363 
9.9894316 
9.9894269 
9.9894221 
9.9894175 

47 
47 

47 
47 
47 

50 
40 
30 

20 

10 

36 

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9.3387418 

O4I 

9.349  3290 

oftn 

0.650  6710 

9.989  4128 

47 

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24 

10 

20 

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9.3388359 
9.338  9301 
9.339  0143 
9.3391184 
9-339  *»*5 

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9-349  4*79 
9-349  5*67 
9-349  6*56 
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0.650  5721 
0.6504733 
0.6503744 
0.650  2756 
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9.989  4081 
9.989  4054 
9.989  3987 
9.989  3039 
9.989  3892 

47 

4Z 
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47 
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50 
40 

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9-339  3065 

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0.650  0780 

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9.3394006 
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9-3395887 
9.339  6826 
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9.350  0208 
9.3501105 
9.350  2183 
9.3503170 
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0.649  0792 
0.649  8805 
0.649  7817 
0.649  6830 
0.649  5843 

9.989  3798 
9.9893751 
9.989  3704 
9.989  3657 
9.989  3609 

47 
47 

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47 

50 

40 
30 

20 
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9  339  8706 

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9-35°  5  H3 

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0.649  4857 

9.989  3562 

47 

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20 

30 
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9-3399645 
9.3400584 
9.3401523 
9.340  2462 
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939 
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9.3506130 
9.3507116 
9.350  8102 
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0.649  2884 
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0.640  0912 
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9.989  35i< 
9.989  3468 
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9-989  3373 
9.989  3326 

47 

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47 
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50 
40 
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9.3404338 

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9.351  1059 

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0.648  8941 

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9.340  5276 
9.340  6214 
9.3407152 
9.3408089 
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938 
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9.351  2045 
9.351  3030 
9.351  4014 

9-351  4999 
9.351  5984 

985 
984 
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0.648  7955 
0.648  6970 
0.648  5986 
0.648  5001 
0.648  4016 

9.989  3131 
9.9893184 
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9.989  3041 

48 

47 

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50 
40 
30 

20 

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9.3409963 

9.351  6968 

0.648  3032 

9.989  1995 

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Cos 

d. 

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d.c. 

Tmng 

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1  98.0 

2  196.0 

3  294.0 

4  392-° 

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6  588.0 

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9  882.0 


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1  97.5 

2  195.0 

3  292-5 
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5  487.5 

6  585.0 

7  682.5 

8  780.0 

9  877.5 


935 

93.5 

187.0 
280.5 

4  374.0 

5  467.5 

6  561.0 

7  654.5 

8  748.0 


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2  186.0 

3  279-0 

4  372.o 

5  465.0 

6  558.0 
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8  744.0 

9  837.0 


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1  92.5 

2  185.0 

3  277.5 

4  37o.o 

5  462.5 

6  555.0 

7  647.5 

8  740.0 

9  832.5 


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7  33.6 
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9.3409963 

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9.351  6968 

981 

0.648  3031 

9-989  *995 

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20 

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9.341  0900 
9.341  1836 
9.341  1773 
9.341  3709 
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936 

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936 

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9.351  7951 
9.351  8936 
9.351  9919 
9.352  0903 
9.352  1886 

984 
983 
984 
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0.6480048 
0.648  1064 
0.6480081 
0.647  9097 
0.647  81x4 

9.989  1948 
9.989  1900 
9.989  1853 
9.989  1806 
9.989  1758 

48 

47 

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d.1 

50 
40 
30 
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9-341  5580 

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9.351  1869 

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0.6477131 

9.9891711 

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40 
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9.341  6516 
9-341  7451 
9.341  8386 
9.341  9311 
9.3410155 

935 
935 
935 
934 
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9.351  3851 

9-35*4835 
9.351  5817 
9.351  6709 
9.351  7781 

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0.647  6148 

0-647  5  "5 
0.647  4183 
0.647  3101 
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9.989  1664 
9.989  1616 
9.989  2569 

9-989  *5« 
9.989  2474 

48 

4Z 
48 

47 

47 

50 
40 
30 

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42 

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9.341  1190 

914 

9.351  8763 

981 

0.647  "37 

9.989  2427 

48 

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18 

10 
10 

30 

40 
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9.341  2123 
9.342  3058 
9.342  3991 
9.3424025 
9.342  5859 

934 
934 
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9-35*  9745 
9-353  °7*o 
9,353  1708 

9-353  *689 
9-353  3669 

981 
981 
981 
980 
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0.647  0155 
0.646  9174 
0.646  8191 
0.6467311 
0.6466331 

9.989  1379 
9.989  1311 
9.989  1284 

9.989  2217 
9.989  1189 

8 
3 

47 

50 

40 

30 

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9.341  6791 

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9-353  465° 

980 

0.646  5350 

9.989  *I42 

18 

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17 

10 

10 

30 
40 
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9.341  7715 
9.341  8657 
9.342  9590 
9-343  05** 
9-343  1454 

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933 
931 
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9-353  5630 
9-35366n 

9-353  759» 
9-353  8571 
9-353  9550 

981 
980 
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979 
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0.6464370 
0.646  3389 
0.646  2409 
0.646  1429 
0.646  0450 

9.989  2094 
9.989  2047 

9.989  1999 

9-989  '95» 
9.989  1904 

4Z 
48 

48 
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50 
40 
30 

10 

10 

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9-343  *386 

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9-354  0530 

979 

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9.989  1856 

47 

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16 

10 

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30 
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9-343  51*0 
9.343  6111 

9-343  704* 

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9-354  1509 
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9-3543467 
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979 
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0.645  8491 
0.645  7511 
0.645  6533 

0-645  5555 
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9.989  1809 
9.989  1761 
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9.989  1666 
9.989  1618 

48 

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48 

47 

50 
40 
30 

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10 

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9-343  7973 

930 

9-354  6401 

978 

0-645  3598 

9.989  1571 

48 

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15 

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30 
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9-343  8903 
9-343  9*33 
9,3440763 
9-344  1693 
9-344  1623 

930 
930 
930 
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9-3547380 
9-354  8358 
9-3549336 
9-355  0313 
9-355  "90 

978 
978 

977 
977 

977 

0.645  *6*o 
0.645  I^4i 
0.645  0664 
0.644  9687 
0.644  °7io 

9.989  1513 
9.989  1475 
9.989  1418 
9.989  1380 
9.989  1331 

48 

8 
48 

47 

50 
40 
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46 

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9-344  355» 

919 

9-355  a*67 

977 

0.6447733 

9.989  1185 

48 

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14 

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30 
40 
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9.3444481 
9.344  5410 

9-3440339 
9-344  7107 
9-344  8190 

919 
919 
918 
910 
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9-355  3*44 
9.355  4111 

9-355  5'97 
9-355  "74 
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977 
976 
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0.644  6756 

0-644  5779 
0.6444801 
0.644  38*6 
0.644  2850 

9.989  1217 
9.9891189 
9.9891141 
9.989  1094 
9.989  1046 

8 

3 

48 

50 
40 
30 

10 
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47 

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9.3449114 

918 

9-355  8«6 

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0.644  1874 

9.989  0998 

48 

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30 
40 
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9-345  0051 
9-345  0979 
9-345  1907 
9-345  "34 
9-345  376i 

917 
918 

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9-355  9'0i 
9.356  0077 
9.356  1052 
9.356  1017 
9.356  3001 

976 

975 
975 
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0.6440899 
0.643  99*3 
0.643  8948 
0-643  7973 
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9-989  °95° 

9.989  0855 
9.989  0807 
9.989  0759 

3 

48 
48 
48 

50 

40 

30 

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48 

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9.345  4688 

927 

9-356  3977 

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0.643  6013 

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30 
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926 
926 
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9.3564951 
9-356  5925 
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9.356  7873 
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80 
80 
81 
80 

81 

50 
40 

30 

20 

10 

54 

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9-55*  3494 

9.581  9074 

611 

0418  0926 

9.9704419 

80 

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6 

IO 
20 
30 
40 
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9-55*4045 
9.551  4596 
9.5515148 

9-55*  5699 
9.552  6250 

55' 
55* 
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9.581  9706 
9.5810338 
9.5820969 

9.582  1601 
9.582  2232 

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632 

0418  0294 
0417  9661 
04179031 
0417  8390 
0417  7768 

9.9704339 

9-9704*59 
9.9704178 
9.9704098 
9.9704017 

80 
81 
80 

81 
80 

5° 
40 
30 
20 

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55 

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9.5526801 

55° 

9.582  1864 

631 

0417  7136 

9-970  3937 

81 

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30 
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9-55*  735* 
9.551  7901 

9-55*  8453 
9.352  9004 

9-55*  9554 

55* 
55* 
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SCI 

9.581  3495 
9.5824116 
9-58i  4758 
9.582  5389 
9.581  6010 

631 
631 

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04*7  6505 
0-4*7  5*74 
0.417  514* 
04174611 
0417  398o 

9.970  3856 
9.970  3776 
9-970  3695 
9.970  3615 
9-970  3534 

80 

81 
80 
81 
80 

50 
40 
30 

10 
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56 

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9.553  0105 

(CO 

9.581  6651 

6l  T 

04*7  3349 

9-970  3454 

81 

0 

4 

10 
20 

30 
40 

50 

9-553  0655 
9-553  *«>5 
9-553  1755 
9-553  *30& 
9-553  *8s* 

550 
550 
55* 
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9.581  7282 
9.582  7913 
9.582  8543 
9.5819174 
9.581  9805 

S31 
630 

S31 

631 

620 

0.417  1718 
0417  2087 
0417  1457 
0.4170816 
04170195 

9-970  3373 
9.970  3193 
9.9703111 
9-970  3131 
9.9703051 

80 
81 
80 

81 
81 

50 
40 
30 

20 
IO 

57 

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9-553  3406 

ceo 

9-583  0435 

611 

0416  9565 

9.970  2970 

8n 

0 

3 

10 
10 

30 
40 
50 

9-553  3956 
9-553  4505 
9-553  5055 
9-553  5605 
9-553  6154 

549 
55° 
550 
549 

ceo 

9.583  1066 
9.583  1696 
9.583  2327 
9-583  *957 
9-583  3587 

630 
631 
630 
630 

620 

0.4168934 
0416  8304 
0416  7673 
0.416  7043 
04166413 

9.970  1890 
9.970  2800 
9.970  1718 
9.970  1648 
9.970  1567 

81 
81 
80 
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50 
40 
30 
20 
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58 

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9-553  6704 

tjQ 

9.5834217 

61  1 

0416  5783 

9.970  2486 

80 

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30 

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9-553  7*53 
9-553  7803 
9-553  »35* 
9-553  *9oi 
9-553  945° 

55° 

549 
549 
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CdQ 

9.5834848 
9.583  5478 
9.583  6108 
9-583  6737 
9-583  7367 

630 
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619 
630 
610 

04165152 
04164511 
0416  3891 
0416  3103 
0416  1633 

9.970  1406 
9.970  1325 
9.970  1244 
9.970  2164 
9.9701083 

81 
81 
80 
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81 

50 
40 
30 

20 
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59 

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9-553  9999 

CdQ 

9-583  7997 

610 

0416  2003 

9.970  20O2 

81 

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9.5540548 
9-554  1097 
9-554  1646 
9-554  "94 
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9.583  8617 
9.583  9156 
9.583  9886 
9.5840515 
9.5841145 

619 
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0416  1373 
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04*5  9485 
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9.970  IQ11 
9.970  1841 
9.970  XJ60 
9.970  1679 
9.970  1598 

80 
81 

81 
81 

81 

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9-554  3*9* 

9-584  *774 

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9.584  1774 

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0.415  8116 

9.970  1517 

80 

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9.554  3840 
9.5544388 
9-5544937 
9-554  54»5 
9.5546033 

548 
549 
548 
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9.584  1404 
9  584  3033 
9.584  3661 
9.584  4191 
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619 
619 
619 
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0.415  7596 
0.415  6967 
0.415  6338 

0-4»5  57°9 
0.415  5080 

9.970  1437 
9.970  1356 
9.970  1175 
9.9701194 
9.9701113 

81 
81 
81 
81 

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50 
40 
30 

20 
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9-554  6581 

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9-584  5549 

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0.4154451 

9.970  1031 

ftr 

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10 

30 
40 
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9-554  7«9 
9-554  7677 
9-554  8115 
9-554  8773 
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9.5846178 
9.584  6807 

9-584  7435 
9.5848064 
9.584  8693 

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619 
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0415  3811 
0415  3193 
0.415  1565 
0415  1936 
0415  1307 

9.9700951 
9.970  0870 
9.9700789 
9.9700700 
9.970  0618 

81 
81 
80 

81 
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50 
40 
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2 

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9.5549868 

CAT 

9.5849311 

610 

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9.9700547 

81 

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10 

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9-555  0415 
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9.5849950 
9.585  0578 
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618 
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618 
618 
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0.414  9411 
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0.4148165 
0-4i47537 

9.970  0466 
9.9700385 
9.9700304 
9.9700113 
9.9700141 

81 
81 
81 
81 
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50 
40 
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9-555  3^5* 

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9.585  3091 

618 

0.414  6909 

9.9700061 

81 

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30 
40 
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9-555  3699 
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9-555  4793 
9-555  5340 
9-555  5-86 

547 
547 
547 
546 

W7 

9-585  3719 
9-585  4347 
9-585  4975 
9.585  5603 
9.585  6131 

618 
618 
618 
618 
618 

0.414  6181 
0414  5653 
0.4145015 

04i44397 
0414  3769 

9.969  9980 
9.969  9899 
9.9699818 
9.969  9736 
9.969  9655 

81 
81 
81 
81 

81 

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40 
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4 

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9-555  6433 

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9.585  6859 

617 

0.414  3141 

9.969  9574 

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9-555  6979 
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9-555  8074 
9-555  8619 
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9.585  7486 
9.5858114 
9.585  8741 

9-585  93*9 
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617 

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0.414  1514 
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0.414  1158 
0.4140631 
0.414  0004 

9.969  9493 
9.969  9411 
9.9699331 
9.969  9150 
9.9699169 

81 
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9.586  0614 

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9.586  1151 
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0413  6868 
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9.9699006 
9.969  8015 
9.969  8844 
9.969  8763 
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81 

81 
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81 
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9.556*987 

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9.5864386 

61,7 

0.413  5614 

9.969  8600 

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9.5564078 
9.5564613 
9.556  5169 
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9.586  5013 
9.586  5640 
9.586  6167 
9.5866893 
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0.413  4987 
0.413  436° 
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0.413  3107 
0.413  1480 

9.9698519 
9.969  8438 
9.969  8356 

9-9698*75 
9.969  8194 

81 
82 
81 
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9.5566159 

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9.586  8147 

616 

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9.9698111 

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10 

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9.5566804 

9-5567349 
9.556  7894 

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9.356  8984 

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9.5868773 

9.5869399 
9.587  0016 
9.587  0651 
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0.4119974 
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0.411  8711 

9.9698031 
9.969  7050 
9.969  7868 
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81 
81 
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50 
40 
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9.556  9519 

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9.587  1904 

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545 
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9.587  1530 
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9.587  3781 
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616 
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9-969  7543 
9.969  7461 
9.969  7380 
9.969  7199 
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81 
81 
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50 
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9.589  1281 
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0.410  8095 
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9-969  5096 
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9.5589088 

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9.589  4401 

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10 
20 
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9.969  4605 

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9-559  *338 

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9.969  4196 

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9-559  *879 
9-559  34*0 
9-559  396* 
9-5594503 
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9.5898765 
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9-969  3950 
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9.5901881 

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9.5596126 
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9.590  2505 
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9-559  8829 

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9.5905617 

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30 
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9-559  9370 
9-559  99TO 
9.560  0450 
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54° 
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9.5906139 
9.590  6861 
9.590  7484 
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0409  3761 
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0.409  1271 

9.9693130 
9.969  3048 
9.969  2966 
9.969  1884 
9.969  2802 

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50 
40 
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9.969  2720 

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9.560  1611 
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40 
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9.560  5310 

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9.591  3082 

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0.408  6918 

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10 
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9.560  (849 
9.5606389 
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0.389  8436 
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9.966  6276 
9.966  6190 
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0.389  5425 
0.389  4811 
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9.966  5032 
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9.966  5761 
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9.610  8187 
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9.966  5417 

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9.611  1797 
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9.611  3000 
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9.966  4901 
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9.9664385 
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9.9663868 
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9.612  2614 
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9.9663351 
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9.966  1833 
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0.382  6566 
0.382  5971 

o-S8*  5375 
0.382  4780 

9.965  6066 
9.965  5979 
9.965  5892 
9.965  5805 
9.965  5717 

87 

88 

87 

50 
40 
30 
20 

IO 

31 

o 

9.583  1445 

so8 

9.617  5815 

coc 

0.3824185 

9-965  5630 

o 

29 

10 

20 

30 
40 
50 

9-583  1953 
9.583  2461 

9-583  *969 
9-583  3476 
9-583  39M 

508 
508 

5°Z 
508 

9.617  6410 
9.617  7006 
9.617  7601 
9.617  8196 
9.617  8790 

596 
595 
595 
594 

toe. 

0.382  3590 
0.382  2994 
0.382  2199 
0.381  1804 

0.382  I21O 

9-965  5543 
9-965  5455 
9.965  5368 
9.965  5281 
9.965  5193 

88 
87 
8? 
88 
87 

50 
40 
30 

20 

IO 

32 

o 

9.583  4491 

. 

9.617  9385 

coc 

0.382  0615 

9.965  5106 

o 

28 

to 

20 

30 
40 
50 

9.583  4999 
9.583  5506 
9.583  6014 
9.583  6521 
9.583  7028 

5°Z 
508 

507 
507 

co7 

9.617  9980 
9.618  0575 
9.618  1170 
9.618  1764 
9.618  2359 

595 
595 
594 
595 

0.382  OO2O 

0.381  94*5 
0.381  8830 
0.381  8236 
0.381  7641 

9.965  5019 
9.965  4931 
9.965  4844 
9.965  4757 
9.965  4669 

88 
87 
87 
88 

87 

50 
40 
30 

20 

IO 

33 

0 

9-583  7535 

9.6182953 

coc 

0.381  7047 

9.9654582 

88 

O 

27 

IO 

20 

30 
40 

50 

9.583  8042 
9.583  8549 
9.583  9056 
9.583  9563 
9.5840069 

507 
507 

IS 

to? 

9-6183548 
9.6184142 
9.6184737 
9.6185331 
9.6185925 

594 
595 
594 
594 

CQ4 

0.381  6452 
0.381  5858 
0.381  5263 
0.381  4669 
0.381  4075 

9.965  4494 
9.965  4407 
9.965  4319 
9.965  4232 
9.965  4144 

8Z 
88 

87 
88 
87 

50 
40 
30 

20 
10 

34 

o 

9.5840576 

9.618  6519 

0.381  3481 

9.965  4057 

88 

0 

26 

IO 

20 

30 
40 
50 

9.584  1083 
9.584  1580 
9.584  2096 
9.584  2602 
9.5843109 

506 

SO? 
506 

506 

9.6187113 
9.618  7707 
9.6188301 
9.6188895 
9.618  9489 

594 
594 
594 
594 
594 

0.381  2887 
0.381  2293 
0.381  1699 
0.381  1105 
0.381  0511 

9-965  3969 
9.965  3882 
9.965  3794 
9.965  3707 
9.965  3619 

87. 
88 

87 
88 
8? 

50 

40 
30 

20 
IO 

35 

o 

9.5843615 

506 

9.619  0083 

$94 

0.380  9917 

9.965  3532 

88 

o 

25 

IO 
20 

3° 

40 

5° 

9.5844121 
9.5844627 

9-5845*33 
9.584  5639 
9.584  6145 

5°J 
506 

so6 

9.6190677 
9.619  1271 
9.619  1864 
9.619  2458 
9.619  3051 

594 
593 
594 
593 

0.380  0323 
0.380  8729 
0.380  8136 
0.380  7542 
0.380  6949 

9.965  3444 
9.965  3357 
9.965  3269 
9.965  3181 
9-965  3094 

87 
88 
88 

87 
88 

50 
40 
30 

20 
IO 

36 

o 

9.584.6651 

506 

9.619  3645 

CQl 

0.3806355 

9.965  3006 

88 

o 

24 

IO 

20 

3° 
40 

50 

9-5847I57 
9.584  7662 
9.5848168 
9.584  8674 
9.5849179 

506 
505 

9.6194238 
9.619  4832 
9.619  5425 
9.6196018 
9.619  6612 

594 
593 
593 
594 

CQ2 

0.380  5762 
0.3805168 
0.3804575 
0.380  3982 
0.380  3388 

9.965  2018 
9.965  2831 
9.965  2743 
9.965  2655 
9.965  2568 

87 
88 
88 

87 
88 

50 

40 
30 
20 

IO 

37 

0 

9.5849685 

coc 

9.619  7205 

cot 

0.380  2795 

9.965  2480 

o 

23 

IO 

20 

30 
40 
50 

9.585  0190 
9.585  0695 

9.585  I2OI 
9.585  1706 
9.585  221  1 

505 
506 

505 
505 

tOt 

9.619  7798 
9.619  8301 
9.619  8984 
9.619  9577 
9.620  0170 

593 

593 
593 
593 

cod 

0.380  22O2 
0.380  l60Q 

0.380  1016 

0.380  0423 
0.379  9830 

9-965  *39* 
9.965  2304 
9.965  4217 
9.965  2129 
9.965  2041 

88 

87 
88 
88 
88 

50 

40 

3° 

20 
10 

38 

0 

9.585  2716 

9.620  0762 

CO4 

0-379  9*38 

9.965  1953 

87 

0 

22 

10 

20 

30 
40 
50 

9-585  3*« 

9.585  3726 
9.585  4230 

9-585  4735 
9.585  5240 

505 
504 

505 
505 

tot 

9.6201355 
9.620  1948 
9.620  2540 
9.620  3133 
9.620  3726 

593 
59* 
593 
593 

CO2 

0-379  8645 
0.379  8052 
o-379  746c 
0.3796867 
0-379  6*74 

9.965  1866 
9.965  1778 
9.965  1690 
9.965  1602 
9.965  1514 

88 
88 
88 
88 
88 

50 
40 

3° 

20 
10 

39 

o 

9-585  5745 

CQ4. 

9.6204318 

CO! 

o-379  568a 

9.965  1426 

87 

0 

21 

IO 

20 

30 
40 
50 

9.585  6249 
9-585  6754 
9.585  7258 

9-585  8167 

505 
504 
504 
505 

CQ4 

9.610  4910 
9.620  5503 
9.620  6095 
9.620  6687 
9.6207280 

593 
59* 
59* 
593 

CO2 

0-379  5090 
0-3794497 
0.379  3905 
0.379  3313 
0.379  2720 

9-965  1339 

9.965  1163 
9.965  1075 

9.965  0987 

88 
88 
88 
88 

88 

50 
40 
30 
2O 
10 

40 

o 

9.585  8771 

9.620  7872 

0.379  ZI*8 

9.965  0899 

0 

20 

' 

II 

Cos 

d. 

Cotg 

d.  c. 

Tang 

Sin 

d. 

II 

' 

426 


22' 


1 

II 

Sin 

d. 

Tang 

d.c. 

Cotg 

Cos 

d. 

n 

1 

40 

O 

9.585  8771 

CQ4 

9.620  7872 

roi 

0.379  1118 

9.965  0899 

88 

o 

20 

IO 

to 

30 

4° 
5° 

9-585  9*75 
9-585  9779 
9.586  02,83 
9.5860787 
9.586  1291 

504 
504 
504 
504 

cod 

9.620  846^. 
9.620  9056 
9.620  9648 
9.621  0240 
9.621  0831 

59* 
59* 
59* 
59» 

CQ2 

0.379  1536 
0.3790944 
0.3700351 
0.378  9760 
0.378  9169 

9.965  0811 
9.965  0713 
9.965  0635 
9.965  0547 
9.965  0459 

88 
88 

88 
88 

88 

5o 
40 
30 
to 

IO 

41 

o 

9.586  1795 

cot 

9.621  1423 

CQ2 

0.378  8577 

9.965  0371 

88 

o 

19 

10 

to 

30 
40 
50 

9.586  2298 
9.586  2802 
9.586  3305 
9.586  3809 
9.5864312 

504 
503 
504 
503 

CO4. 

9.621  2015 
9.611  2607 
9.621  3198 
9.621  3790 
9.621  4381 

59* 
59» 
59* 
59» 

CO2 

o-378  7985 
0-378  7393 
0.378  6801 
0.378  6110 
0.378  5619 

9.965  0183 
9.965  0195 
9.965  0107 
9.965  0019 
9.9649931 

88 
88 
88 
88 

88 

50 
40 
30 

to 

IO 

42 

o 

9.5864816 

tni 

9.621  4973 

cqi 

0.378  5017 

9.964  9843 

88 

o 

18 

IO 

20 

30 
40 

5° 

9.586  5519 
9.586  5822 
9.586  6315 
9.586  6819 
9.586  7332 

503 
503 
504 
503 

CO3 

9.621  5564 
9.621  6155 
9.621  6747 
9.621  7338 
9.621  7929 

591 

59* 

59  « 
59i 

COI 

0.3784436 
0-378  3845 
0-378  3*53 
0.378  1661 
0.378  1071 

9-964  9755 
9.964  9667 
9.964  9579 
9.964  9491 
9.964  9403 

88 
88 
88 
88 
80 

50 
40 
30 

20 

10 

43 

o 

9.586  7835 

cot 

9.621  8520 

CQI 

0.378  1480 

9.9649314 

88 

0 

17 

10 

to 

3° 
40 

5° 

9.586  8137 
9.586  8840 

9-586  9343 
9.586  9840 
9.587  0348 

503 
503 
503 
502 

CO! 

9.621  9111 
9.621  9702 
9.6220293 
9.622  0884 
9.6*2  1475 

59« 
59» 
591 
59» 
CQI 

0.378  0889 
0.3780198 
0.377  97°7 
0.3770116 
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9.964  9116 
9.9649138 
9.964  9050 
9.964  8962 
9.964  8874 

88 
88 
88 
88 
80 

5° 
40 

3° 
to 

IO 

44 

o 

9.5870851 

COI 

9.622  2066 

COO 

0-377  7934 

9  964  8785 

88 

0 

16 

IO 

to 

30 
40 

5° 

9.5f7  i|53 
9.587  1856 

9-587  1358 
9.587  2860 

9-587  3363 

503 
502 
502 
503 

502 

9.622  2656 
9.622  3247 
9.622  3838 
9.622  4428 
9.622  5019 

591 
59» 
590 

59' 
59° 

0-377  7344 
0-377  6753 
0.377  6162 

0-377  557* 
0.377  49»» 

9.964  8697 
9.964  8609 
9.964  8511 
9.9648431 
9.964  8344 

88 
88 

82 
88 

88 

50 
40 

30 

20 
10 

45 

o 

9.587  3865 

cot 

9.622  5609 

coo 

o-377  4391 

9.964  8156 

89 

O 

15 

10 

10 

30 
40 

50 

9.587  4367 
9.587  4869 
9.587  5171 
9-587  5873 
9-587  6375 

502 

502 

502 
502 

COI 

9.6*1  6199 
9.612  6790 
9.6*2  7380 
9.622  7970 
9.621  8560 

59» 
590 
590 

59° 
coo 

0-377  3801 
0-377  3*»o 
0.377  2620 
0.377  *O3° 
0.377  1440 

9.964  8167 
9.964  8079 
9.964  7991 
9.964  7002 
9.964  7814 

88 
88 

88 
88 

88 

50 
40 

3° 

20 
10 

46 

o 

9.587  6876 

9.621  9150 

0.377  0850 

9.964  7726 

8q 

0 

14 

10 

20 

30 
40 

5° 

9.587  7578 
9.587  7880 
9.587  8381 
9.587  8883 
9-587  9384 

5oa 
502 
501 
502 
501 

COT 

9.622  9740 
9.623  0330 
9.623  0910 
9.623  1510 

9.623  2100 

590 
590 
590 

59° 
coo 

0.377  0260 
0.376  9670 
0.376  9080 
0.376  8490 
0.376  7900 

9.964  7637 
9.964  7549 
9.964  7461 
9.964  7372 
9.964  7284 

88 

88 
89 
88 
89 

50 
40 

3° 

20 
IO 

47 

o 

9-587  9885 

yji 

9.623  2690 

coo 

0.376  7310 

9.9647195 

88 

o 

13 

10 

to 

30 
40 
50 

9.588  0186 
9.588  0888 
9-588  1189 
9.588  1890 
9-588  2391 

501 

502 
501 
501 
501 

COI 

9.623  3280 
9.623  3869 
9.623  4450 
9.623  5048 
9.623  5638 

589 
500 

589 
52° 

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0.376  6710 
0.376  6131 
0.376  5541 
0.376  4951 
0.376  4361 

9.964  7107 
9.964  7018 
9.964  6030 
9.964  6842 
9.964  6753 

82 
88 

88 

h 

88 

50 
40 
30 

10 
IO 

48 

o 

9.588  2892 

9.623  6227 

coo 

0.376  3773 

9.964  6665 

8q 

0 

12 

IO 

20 
30 
40 
5° 

9-588  3193 
9.588  3893 

9-5884394 
9.588  4895 

9-588  5395 

500 
501 
501 
500 

COI 

9.623  68l7 
9.623  7406 
9.623  7905 

9-6*3  8584 
9.613  9173 

589 
589 
589 
589 

coo 

0.376  3183 
0.376  1594 
0.376  1005 
0.376  1416 
0.376  0817 

9.964  6576 
9.964  6488 
9.964  6399 
9.9646310 
9.964  6222 

88 
I9 

S2 

88 
89 

50 
40 
30 

20 

IO 

49 

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9.588  5896 

coo 

9.623  9763 

rgq 

0.376  0137 

9.964  6133 

88 

0 

11 

IO 
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30 
40 

50 

9.588  6796 
9.5886897 
9-5«8  7397 
9.588  7897 
9.588  8397 

501 

500 
500 
500 

coo 

9.6140352 
9.624  0941 
9.614  1529 
9-6x4  2118 
9.624  2707 

5f9 
588 
589 
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0-375  9648 
0-375  9059 
0.375  8471 
0.375  7881 
0-375  7*93 

9.964  6045 
9.964  5056 
9.964  5868 
9.964  5779 
9.964  5690 

8Q 

88 
89 
89 
88 

50 
40 
30 

20 

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50 

0 

9.588  8897 

9.624  3296 

o  375  6704 

9.964  5601 

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9.588  8897 

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9.624  3296 

c8a 

0-375  6704 

9.964  5602 

XQ 

o 

10 

10 

20 

30 
40 

9.588  9397 
9-5889897 
9-589  0397 
9-5890897 

9-589  1397 

500 
500 
500 
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9.6243885 
9-6*4  4473 
9.624  5062 
9.624  5650 
9.624  6239 

n  en  en  en  en  t_ 

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0.3756115 
o-375  55*7 
0-375  4938 
0-375  4350 
0-375  376i 

9.9645513 
9.964  5424 
9.9645336 

9-964  5*47 
9.9645158 

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5  vD  vO  OOO  v 

50 
40 
30 

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9.589  1897 

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9.6246817 

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0-375  3*73 

9.964  5069 

88 

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9 

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20 

30 
40 
50 

9.589  2196 
9.589  2896 

9-589  3395 
9.589  3895 

9-5894394 

500 

499 

500 

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9.624  7416 
9.624  8004 
9.624  8502 
9.6249180 
9.624  9768 

n  en  en  en  en  e 

x  oooooaoo  - 

0-375  *584 
0-375  1996 
0.375  1408 
0.375  0820 
0-375  0232 

9.9644892 
9.9644803 
9.9644714 
9.964  4616 

89 

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88 

8q 

50 
40 

30 

20 

IO 

52 

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9.589  4893 

CQO 

9.625  0356 

r8n 

0-374  9644 

9-9644537 

80 

0 

8 

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20 

30 
40 

50 

9-589  5393 
9-589  5»9* 

9.589  6890 

499 
499 
499 
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AQQ 

9.625  0945 
9.625  1532 

9.625  2120 
9.625  2708 
9.625  3296 

n  en  en  enen  i 

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0.374  8468 

0-374  7880 
0.374  7292 
0-374  6704 

9.964  4448 

9-9644359 
9.964  4270 
9.9644182 
9.9644093 

f9 
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50 
40 

3° 

20 
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53 

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9.589  7888 

AOQ 

9.625  3884 

r88 

0.3746116 

9.9644004 

80 

o 

7 

10 

20 

30 
40 
50 

9.589  8387 
9.589  8885 
9.589  9184 
9.5899883 
9.5900381 

498 

499 
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4.QQ 

9-6*5  447* 
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9.625  6234 
9.625  6822 

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0-374  55*8 
0-374  494i 
0-374  4353 
0-374  3766 
0-374  3178 

9-96439I5 
9.964  3826 

9-964  3737 
9:964  3648 

9-964  3559 

f9 

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40 
30 

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9.5900880 

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9.964  3470 

88 

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20 

30 
40 
50 

9.590  1178 
9.590  1876 

9-59°  *375 
9-590  2873 
9-590337I 

498 

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9.625  7996 
9.625  8584 
9.625  9171 

9-6*5  9758 

9.616  0345 

588 

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0.374  2004 
0.374  1416 
0.374  0829 
0.3740242 
0-373  9655 

9.964  3382 
9.964  3293 
9.9643204 
9.9643115 

9.964  3026 

89 
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50 
40 
30 

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9.590  3869 

198 

9.626  0932 

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o-373  9068 

9.9642937 

89 

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5 

10 

20 

30 
40 
50 

9-5904367 
9.5904865 
9-590  5563 
9.590  5861 
9.5906358 

498 
498 
498 
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9.626  1519 
9.626  2106 
9.626  2693 
9.626  3280 
9.626  3867 

n  en  enen  en  l 
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0.373  8481 
0-373  7894 
0-373  7307 
0.373  6720 

0-373  6133 

9.964  2848 
9.964  2759 
9.964  2670 
9.964  2580 
9-964  *49* 

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50 
40 
30 

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9.590  6856 

408 

9.626  4454 

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0-373  5546 

9.9642402 

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4 

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20 

30 
40 
50 

9-5907354 
9-5907851 

9-590  8^49 
9.590  8846 
9-590  9343 

49° 

497 
498 

497 
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9.626  5040 
9.626  5627 
9.626  6214 
9.626  6800 
9.626  7387 

5f7 
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0.373  4960 
0-373  4373 
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0-373  3*°o 
0.373  2613 

9-964  *3'3 
9.964  2224 
9.964  2135 
9.964  2046 
9.964  1957 

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40 

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9.958  6767 

o 

24 

10 

20 

30 
40 

9.6194324 
9.6194783 
9.619  5243 
9.619  5703 
9.619  6162 

460 
460 

III 

9.660  7653 
9.660  8209 
9.660  8766 

9.660  9321 
9.660  9878 

556 

557 
55f 
556 

reft 

0-339  »347 
0.339  I79i 
0.339  "34 
0.339  0678 
0.339  OI1Z 

9.958  6670 
9.958  6574 
9.958  6477 
9.958  6381 
9.958  6285 

97 
96 
97 
96 

96 

50 
40 
30 

20 
IO 

37 

o 

9.619  6621 

9.661  0434 

0.338  9566 

9.9586188 

97 

06 

O 

23 

IO 

20 

30 
40 

50 

9.6197081 
9.619  7541 
9.619  8000 
9.619  8460 

9.619  8919 

459 
460 

419 
460 

459 

4CO 

9.661  0990 
9.661  1546 

9.66l  2IO2 
9.661  2657 
9.66l  3213 

556 

555 
556 

ccfe 

0.3389010 
0.338  8454 
0.338  7898 

0-338  7343 
0.3386787 

9.958  6092 
9-958  5995 
9.958  5899 
9.958  5802 
9.958  5706 

7° 

50 
40 
30 
2O 
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38 

o 

9.619  9378 

AtQ 

9.661  3769 

ttf, 

0.338  6231 

9.958  5609 

06 

o 

22 

10 

20 

30 
40 
50 

9.6199837 
9.620  0290 
9.6200755 
9.620  1214 
9.620  1673 

459 
459 
459 
459 

9.661  4325 
9.66l  4880 
9.66l  5436 
9.661  5992 
9.661  6547 

555 

SSl 
556 

555 

CCft 

0-338  5675 
0.338  5110 
0.338  4564 
0.338  4008 
0.338  3453 

9-9585513 
9.958  5416 
9.9585319 
9.958  5221 
9.9585126 

7° 

97 

5 

50 
40 
30 

20 

IO 

39 

o 

9.6102132 

4CO 

9.661  7103 

0.338  2897 

9.958  5030 

7° 

o 

21 

IO 
20 

30 
40 
50 

9.620  2591 
9.620  3050 
9.620  3508 
9.620  3967 
9.620  4426 

459 
458 

459 

Ml 

9.661  7658 
9.661  8213 
9.66l  8769 
9.661  9324 
9.661  9879 

555 
556 
555 
555 

CC( 

0.338  2342 
0.338  1787 
0.338  1231 
0.338  0676 
0.3380121 

9.958  4933 
9.958  4836 
9.958  4740 
9.958  464? 

96 

97 
96 

50 
40 
30 

20 

IO 

40 

o 

9.620  4884 

9.662  0434 

0.337  9566 

9.958  4450 

o 

20 

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II 

Cos 

d. 

Cotg 

d.c. 

Tang 

Sin 

d. 

II 

65C 


438 


24C 


555 

55.5 

III.O 

'66.  $ 

222.O 

277.5 

6  333-0 

7  388.5 

8  444.0 
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554 

55-4 
1 10.8 
166.2 

221.6 
377.0 

6  332.4 
387.8 

8  443.2 

9  498.6 


553 

53.3 
1 10.6 

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221.2 

'76.5 

633L8 

7  387.1 

8  442  4 

9  497-7 


458 

45.8 

91.6 

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'83.2 

229.0 

274.8 

7  320.6 

8366.4 

9  412.2 


456 

45.6 

91.2 

136.8 
182.4 

228.0 

7  3'9-a 

8  364.8 

9  410.4 


97 

'  9.7 
a  '9.4 
3  29-1 
438.8 
548.5 
658.1 
7  67.9 
877.6 
987.3 


1 

a 

Sin 

d. 

Tang 

d.  c. 

Cotg 

Cos 

d. 

ii 

I 

40 

o 

9.6204884 

at-g 

9.662  0434 

«r.f, 

0.337  9566 

9.9584450 

Q-7 

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so 

10 

20 

30 
40 
50 

9.6205342 
9.6205801 
9.6206259 
9.6206717 
9.6207176 

459 

45$ 
458 

459 

4C.8 

9.662  0990 
9.662  1545 

9.662  2100 
9.662  2655 
9.662  32IO 

555 
555 
555 
555 

ecc 

0.337  QOIO 

0-337  »455 
0.337  79°° 

0-337  7345 
0.337  6790 

9-9584353 
9.9584156 
9.9584159 
9.9584063 
9.958  3966 

97 
97 
96 

97 

Q7 

So 

40 
30 
20 

IO 

41 

o 

9.620  7634 

4c8 

9.662  3765 

ccd 

0.337  6235 

9.958  3869 

Q7 

o 

19 

10 

20 

3° 
40 

5° 

9.620  8092 
9.620  8550 
9.620  9008 
9.620  9466 
9.6209924 

458 
458 
458 
458 

4C.8 

9.6624319 
9.662  4874 
9.662  5429 
9.662  5984 
9.662  6538 

555 
555 
555 
554 
ccc 

0.337  5681 
0.3375126 

Q-337  4571 
0.3374016 
0.337  3462 

9.9583772 
9.958  3676 

9-9583579 
9.958  3482 
9.958  3385 

96 

97 
97 
97 

07 

50 

40 
30 
20 

10 

42 

o 

9.621  0382 

4C*7 

9.662  7093 

ccc 

0.337  2907 

9.958  3288 

nf> 

o 

18 

10 

20 

30 

40 
50 

9.621  0839 
9.621  1297 
9.621  1755 

9.621  2212 
9.621  2670 

458 
458 

457 
458 

AC7 

9.662  7648 
9.662  8202 
9.662  8757 
9.662  9311 
9.662  9866 

554 
555 
554 
555 

CCA 

0.337  2352 
0.337  1798 
0.337  "43 
0.337  0689 
0.3370134 

9.9583192 
9.958  3095 
9.958  2998 
9.958  2901 
9.958  2804 

97 
97 
97 

97 

O7 

50 
40 
30 

20 
IO 

48 

o 

9.621  3127 

9.663  O42O 

SS4 

0.3369580 

9.958  2707 

O7 

O 

17 

IO 

20 

30 
40 

5° 

9.621  3584 
9.621  4042 

9.621  4499 
9.621  4956 
9.621  5413 

458 

457 
457 
457 

4*8 

9.663  0974 
9.663  1529 
9.663  2083 
9.663  2637 
9.6633191 

555 
554 
554 
554 
CCA 

0.336  9026 
0.336  8471 
0.3367917 
0.336  7363 
0.336  6809 

9.958  2610 
9.9582513 
9.9582416 
9.9582319 

9.958  2222 

97 
97 
97 
97 

OT 

5° 

40 

30 

20 
10 

44 

o 

9.621  5871 

ACT 

9.663  3745 

CCA 

0.336  6255 

9.9582125 

Q1 

0 

16 

IO 

20 

3° 

40 

5° 

9.621  6328 
9.6:1  6785 
9.621  7242 
9.621  7698 
9.621  8155 

457 

451 
456 

457 
457 

9.663  4299 
9.663  4853 
9.663  5407 
9.663  5961 
9.6636515 

554 
554 
554 
554 

SS4 

0.336  5701 
0.3365147 

°-3364593 
0.3364039 
0.336  3485 

9.958  2028 

9.958  1931 

9.958  1834 
9.9581737 

9.958  1640 

97 
97 
97 
97 
97 

50 
40 
30 
2O 
IO 

45 

o 

9.611  8612 

457 

9.663  7069 

554 

0.3362931 

9.958  1543 

97 

o 

15 

IO 

20 
30 
40 

5° 

9.621  9069 
9.621  9525 
9.621  9982 
9.622  0438 
9.622  0895 

456 

457 
456 

457 

4C6 

9.663  7623 
9.663  8176 
9.663  8730 
9.663  9284 
9.663  9837 

553 
554 
554 
553 
554 

0.336  2377 
0.336  1824 
0.336  1170 
0.3360716 
0.3360163 

9.958  1446 

9-958  1349 
9.958  1252 

9.958  1155 
9.958  1058 

97 
97 
97 
97 
07 

50 

40 
30 

20 
IO 

46 

o 

9.622  1351 

9.6640391 

CCl 

0.335  9609 

9.9580961 

08 

O 

14 

IO 

20 

30 
40 
50 

9612  1808 
9.622  2264 
9.622  2720 
9.6223176 
9.622  3632 

456 
456 
456 
456 

d.c6 

9.664  0944 
9.664  1498 
9.664  2051 
9.664  2604 
9.6643158 

554 
553 
553 
554 

CCl 

0-335  9056 
0-335  8501 
0-335  7949 
0-335  7396 
o-335  0842 

9.9580863 
9.958  0766 
9.958  0669 

9.958  0572 
9.958  0475 

97 
97 
97 
97 

Q7 

50 
40 
30 
2O 
IO 

47 

o 

9.622  4088 

9.6643711 

CCl 

o-335  6289 

9.9580378 

08 

o 

13 

IO 

20 

30 

40 

5° 

9.6224544 
9.622  5000 
9.6225456 
9.622  5912 
9.622  6368 

456 
456 
456 
456 

9.664  4264 
9.6644817 
9.6645370 
9.664  5923 
9.664  6477 

553 
553 
553 
554 

CC9 

0-335  5736 
0-3355i83 
o-335  4630 
o-335  4077 
o-335  35^3 

9.958  0280 
9.9580183 
9.958  0086 

9-957  9989 
9.9579891 

97 
97 
97 
98 

Q7 

5° 

40 
30 
20 

IO 

48 

0 

9.622  6824 

9.664  7030 

cci 

0.335  2970 

9  957  9794 

Q7 

0 

12 

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20 

3° 

40 

5° 

9.622  7279 
9.6227735 
9.622  8190 
9.622  8646 
9.622  9101 

456 

455 
456 

455 
4C.6 

9.664  7581 
9.664  8135 
9.664  8688 
9.664  9241 
9.664  9794 

553 
553 
553 
553 

CC2 

0-335  2418 
0.335  l865 
o-335  131* 
o-335  0/59 
0.335  0206 

9.957  9697 

9  957  9599 
9.957  9502 

9-957  9405 
9-957  930? 

98 

97 
97 
98 

Q7 

50 
40 
30 

20 

IO 

49 

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9.622  9557 

.ice 

9.665  0346 

CCl 

0.334  9654 

9-957  92I° 

Q7 

0 

11 

IO 

20 

30 
40 

5° 

9.623  OOI2 
9.623  0467 
9.623  O922 
9.623  1377 
9.613  1832 

455 
455 
455 
455 

ACC 

9.665  0899 
9.665  1452 
9.665  2004 
9.665  2557 
9.665  3109 

553 
551 
553 
55* 

CC7 

0.3349101 
03348548 
0.334  7996 

0-334  7443 
0.3346891 

9.9579113 
9.9579015 
9.9578918 
9.9578821 
9-957  8723 

98 

97 
97 
98 

Q7 

50 
40 
30 

20 
IO 

50 

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9.623  2287 

9.665  3662 

0-334  6338 

9.957  8626 

o 

10 

i 

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Cos 

d. 

Cotg 

d.c. 

Tang 

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d. 

II 

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65' 


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d. 

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d.c. 

Cotg 

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d. 

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9 

50 

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9.623  2287 

xrr 

9.665  3662 

<ci 

0-3346338 

9.957  8626 

98 

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10 

10 
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40 

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9.623  2742 
9.623  3'97 
9.623  365* 
9.6234107 
9.623  4562 

455 
455 
455 
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AC.,1 

9.665  4214 
9.665  4767 
9.6655319 
9.665  5871 
9.665  6423 

553 
55i 
55* 
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rcj 

0.334  5786 

0-334  5*33 
0-334  46*1 
0.3344129 

0-3343577 

9-957  85*8 
9.9578431 

9  957  8333 
9.957  8236 
9.9578138 

9Z 

9* 

9Z 
98 

0*7 

50 

40 
30 
2O 
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51 

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9.623  5016 

4.CC 

9.665  6975 

CCl 

0-334  30*5 

9-957  8041 

08 

0 

9 

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20 

J° 
40 

50 

9.623  5471 
9.623  5925 
9.623  6380 
9.623  6834 
9.623  7289 

454 
455 
454 
455 

4Cd 

9.665  7528 
9.665  8080 
9.665  8632 
9.665  9184 
9.665  9736 

55* 
55i 
55* 
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0-334  2471 
0.334  1920 
0.334  1368 
0.3340816 
0.3340264 

9-957  7943 
9-957  7M 
9-957  7748 
9.9577651 

9-957  7553 

9Z 
98 

9Z 
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O7 

50 

40 
30 

20 

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52 

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9.623  7743 

ACA 

9.666  0288 

0.3339712 

9-957  7456 

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0 

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10 

20 

33 
40 

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9.6238197 
9.623  8652 
9.623  9106 
96239560 
9.6240014 

455 
454 
454 
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4^4 

9.666  0839 
9.666  1391 
9.666  1943 
9.666  2495 
9.666  3046 

55* 
55* 
55* 
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5(1 

0.3330161 
0.333  8609 
0-333  8°57 
o-333  75°5 
0-333  6954 

9-957  7358 
9-957  726o 
9.9577163 
9-957  7065 
9  957  6967 

98 

97 
98 
98 

Q7 

50 
40 
30 

20 

IO 

53 

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9.624  0468 

dCd 

9.666  3598 

eci 

0-333  6401 

9  957  6870 

08 

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7 

10 

20 

3° 
40 

5° 

9.624  0922 
9.624  1376 
9.624  1829 
9.624  2283 
9.624  2737 

454 
453 
454 
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Atl 

9.6664150 
9.666  4701 
9.666  5253 
9.666  5804 
9.666  6355 

55* 

55* 
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0-333  S^SO 
o  333  5199 
0-333  4747 
0.3334196 
0-333  3645 

9-957  677* 
9-957  6674 
9-957  6577 
9-957  6479 
9-957  6381 

98 
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50 
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54 

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9.6243190 

AC.4 

9.666  6907 

CCI 

0-333  3093 

9.957  6284 

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3° 
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9.624  3644 
9.624  4097 
9.6244551 
9.624  5004 
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453 
454 
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9.666  7458 
9.666  8009 
9.666  8561 
9.6669112 
9.666  9663 

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o-333  *54» 
o-333  i99i 
0-333  H39 
0.333  0888 

0.3330337 

9.957  6186 
9.957  6088 
9-957  5990 
9-957  5893 
9-957  5795 

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9.6245911 

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9.667  0214 

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0.332  9786 

9-957  5697 

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9.624  6364 
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9.624  7270 
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9.667  0765 
9.667  1316 
9.667  1867 
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0.3320235 
0.332  8684 
0.332  8133 
0.332  7582 
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9-957  5599 
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9-957  54°3 
9-957  53o6 
9-957  S108 

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9.624  8629 

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9.667  3519 

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0.332  6481 

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9.624  9082 
9.624  9515 
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9.625  0441 
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9.667  4070 
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0-331  593° 
0.332  5370 
0.3324828 
0.332  4278 
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9-957  5011 
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9-957  4816 
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9.625  1798 
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0.332  2626 
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0.331  0324 
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9.625  9483 

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9.668  6725 

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0-33  1  3»75 

9-957  »757 

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60 

10 

20 

30 
40 

50 

9-6*5  9934 
9.626  0386 

9.6260837 
9.626  1188 
9.626  1740 

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45i 

45  * 
45* 

4.CI 

9.668  7275 
9.668  7825 
9.668  8374 
9.668  8924 
9.668  9473 

550 

549 
55° 
549 

CCQ 

0.331  17*5 
0.331  2175 
0.331  1626 
0.331  1076 
0.3310527 

9-957  1659 
9-957  »56i 
9-957  *463 
9-957  *364 
9.957  2266 

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50 

40 

30 

20 

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1 

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9.626  2191 

4.CI 

9.669  0023 

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0-3309977 

9.957  1168 

nfl 

0 

59 

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20 

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40 
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9.626  2642 
9.626  3093 
9.6263544 
9.626  3995 
9.626  4446 

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451 
451 
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9.669  0572 

9.669  1  1  22 
9.669  1671 
9.669  222O 
9.669  2770 

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0.330  0428 
0.330  8878 
0.330  8329 
0.330  7780 
0.330  7230 

9.957  2070 
9-957  1971 
9-957  i«73 
9-957  '775 
9-957  1676 

92 
98 
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50 
40 
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2 

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9.626  4897 

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9.6693319 

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0.3306681 

9-957  1578 

08 

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20 

3° 
40 

50 

9.626  5348 
9.626  5798 
9.626  6049 
9.626  6700 
9.626  7150 

450 
451 

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9.669  3868 
9.669  4417 
9.669  4966 

9-669  |5iS 
9.669  6064 

549 
549 
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0.3306132 
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0.3304485 
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9.957  1480 
9-957  1381 
9-957  ««3 
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9.957  1086 

99 

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50 
40 
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3 

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9.626  7601 

9.669  6613 

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0.330  3387 

9-957  0988 

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57 

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30 
40 
50 

9.626  8051 
9.626  8502 
9.626  8952 
9.626  9402 
9.626  9853 

45' 

450 
450 
451 

9.669  7162 
9.6697711 
9.669  8260 
9.669  8808 
9.669  9357 

549 
549 
548 

549 

549 

0.330  2838 
0.330  2289 
0.330  1740 
0.330  1192 
0.3300643 

9-957  0889 
9-957  0791 
9.957  0693 

9-957  0594 
9.957  0496 

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98 

92 
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50 
40 
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4 

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9.627  0303 

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9.669  9906 

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0.3300094 

9-957  0397 

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10 

30 
40 
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9.627  0753 
9.627  1203 
9.627  1653 
9.627  2103 
9.627  2553 

450 
450 
450 
450 

4<O 

9.6700454 
9.670  1003 
9.6701551 

9.670  2100 
9.670  2648 

549 
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549 
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0.329  0546 
0.329  8997 
0.329  8449 
0.329  7900 
0.329  7352 

9-957  0299 
9.957  0200 

9-957  0102 

9.957  0003 
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9.627  3003 

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0.329  6803 

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9.627  3453 
9.627  3902 
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9.6703745 
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0.329  6255 
0.329  570-7 
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0.329  4610 
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9.956  9707 
9.956  9609 
9.9569510 
9.9569412 
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9.627  5701 

9.670  6486 

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0.329  3514 

9.9569215 

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9.627  6150 
9.627  6600 
9.627  7040 
9.627  7498 
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9.670  70J4 
9.6707582 
9.6708130 
9.670  8678 
9.670  9226 

548 
548 
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0.319  2966 
0.329  1418 
0.329  1870 
0.329  1322 
0.329  0774 

9.9569116 

9.9560017 
9.956  8019 

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50 
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9.627  8397 

9.670  9774 

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0.329  0226 

9.956  8623 

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9.627  8846 
9.627  9295 
9.627  9744 
9.628  0193 
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AA.6 

9  .671  0322 
9.671  0870 
9.671  1417 
9.671  1965 
9.671  2513 

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542 
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547 

0.328  9678 
0.328  9130 
0.328  8583 
0.328  8035 
0.328  7487 

9.9568524 
9.956  8425 
9.956  8326 

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9.618  2885 

9.628  3334 

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449 
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9.671  3608 
9.671  4155 
9.671  4703 
9.671  5250 
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S47 

0.328  6592 
0.318  5845 
0.318  5197 
0.328  4750 
0.328  4202 

9.9567031 
9-956  7832 

9-956  7734 
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9.628  3782 

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0.328  3108 
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9.956  7338 
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9.628  6472 

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9.672  0175 
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9.672  1269 
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0.327  9825 
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0.327  3810 

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9.629  5870 
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9.673  0014 
9.673  0560 
9.673  1107 
9.673  1653 
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0.326  9986 
0.326  0440 
0.316  8893 
0.326  8341 
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9.956  4061 
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0.316  6709 
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0.326  5071 
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9.956  4367 
9.956  4267 
9.956  4168 
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9.6324803 
9  632  5246 
9.632  5689 
9.6326133 

443 
443 
443 
444 

AAl 

9.676  5970 
9.6766513 
9.676  7056 
9.676  7600 
9.676  8143 

543 
543 
544 
543 
543 

0-3*3  4030 
0.323  3487 
0.323  2944 
0.323  2400 
0-3*3  ^57 

9-955  8390 
9-955  8290 
9-955  8190 
9-955  MO 
9-955  7990 

IOO 
IOO 
IOO 
IOO 

IOO 

50 
40 

3° 
20 

IO 

25 

o 

9.632  6576 

44} 

9.676  8686 

543 

0-3*3  *3H 

9-955  789° 

IOO 

0 

35 

IO 
20 
30 
40 

S<> 

9.632  7019 
9.632  7462 
9.632  7905 
9-63*  8348 
9.631  8790 

443 
443 
443 
442 

9.676  9229 
9.676  9772 
9.6770315 
9.677  0858 
9.677  1401 

543 
543 
543 
543 

C4.2 

0.323  0771 
0.323  0228 
0.322  9685 
0.322  9142 
0.322  8599 

9-955  7790 
9-955  7690 
9-955  75»9 
9-955  7489 
9-955  7389 

IOO 
101 
IOO 
IOO 
IOO 

50 
40 
30 

20 

IO 

26 

o 

9.632  9133 

443 

9.677  1944 

C41 

0.322  8056 

9-955  7*89 

IOO 

o 

34 

10 
20 

3° 

40 

S° 

9.632  9676 

9-6330119 
9.633  0561 
9.633  1004 
9.633  1446 

443 
443 
44* 
443 
442 

9.677  2487 
9.677  3030 

9-677  3573 
9.6774115 
9.677  4658 

543 
543 
54* 
543 

Cd/l 

0.3227513 
0.322  6970 
0.322  6427 
0.322  5885 
0.322  5342 

9-955  7189 
9-955  7089 
9-955  6989 
9-955  6880 
9-955  6788 

IOO 
IOO 
IOO 
101 
IOO 

50 
40 
30 

20 

IO 

27 

o 

9.633  1889 

AAl 

9.677  5201 

S4.2 

0.322  4799 

9.955  6688 

IOO 

o 

33 

10 
20 

30 
40 

5° 

9.633  2331 
9.633  2774 
9.633  3216 
9.633  5658 
9.633  4100 

443 
44* 
44* 
44* 

9-677  5743 
9.677  6286 
9.677  6828 
9.677  7371 
9.677  7913 

543 
54* 
543 
54* 

C.17 

0.3224257 
0.322  3714 
0.322  3172 
0.322  2629 
0.322  2087 

9-955  6588 
9-955  6488 
9-955  6387 
9-955  6*87 
9-955  6187 

IOO 

101 
IOO 
100 
IOO 

5° 

40 

3° 
20 

10 

28 

o 

9.633  4542 

9.677  8456 

Cd.2 

0.322  1544 

9-955  6087 

IOI 

o 

32 

10 

20 

30 
40 
50 

9.633  4984^ 
9.633  5426 
9.633  5868 
9.633  6310 
9.633  6751 

44* 
44* 
44* 
44* 

9-677  8998 
9-677  9540 
9.678  0083 
9.678  0625 
9.678  1167 

54* 
543 
54* 
54* 

Cd.2 

O.322  1002 
0.3220460 
O.32I  9917 
0.321  0175 
0.321  8833 

9-955  5986 
9-955  5»86 
9-955  5786 
9-955  5686 
9-955  5585 

IOO 
IOO 
IOO 
IOI 
IOO 

5° 

40 
30 

20 

IO 

29 

0 

9.633  7194 

9.678  1709 

C4.2 

O.32I  8291 

9-955  5485 

IOI 

o 

31 

IO 

20 

30 
40 
50 

9.633  7636 
9.633  8077 
9.6338519 

9-633  8961 
9.633  9402 

441 

44* 

44* 
44! 

AA1 

9.678  2251 
9.678  2793 
9.678  3335 
9.678  3877 
9.6784419 

54* 
54* 
54* 
54* 

CAl 

0.321  7749 
0.321  7207 
0.321  6665 
0.321  6123 
0.321  5581 

9-955  5384 
9-955  5*84 
9-955  5184 
9-955  5083 
9-955  4983 

IOO 
IOO 
IOI 
IOO 
IOI 

50 
40 
30 

20 

IO 

30 

o 

9.633  9844 

9.678  4961 

0.321  5039 

9-955  4882 

o 

30 

r 

II 

Cos 

d. 

Cotg 

<Lc. 

Tang 

Sin 

d. 

II 

1 

64C 


25C 


443 


1 

n 

Sin 

d. 

Tang 

d.  c. 

Cotg 

Cos 

d. 

M 

1 

30 

0 

9.633  9844 

J-ll 

9.6784961 

C4J 

0-3"  5039 

9-955  4882 

TOO 

o 

30 

IO 

20 

30 
40 

5° 

9.634  0285 
9.6340726 
9.634  1  1  68 
9.634  1609 
9.634  2050 

441 
442 
441 
441 

j  ii 

9.678  5503 
9.678  6045 
9.678  6586 
9.678  7128 
9.678  7670 

54* 
541 
54* 
54* 

C4i 

0-3*1  4497 
°-3*i  3955 
0.3*1  3414 

0.711  2872 
O.32I  233O 

9.955  4782 
9-955  4682 
9-955  458i 
9-955  448i 
9-955  438o 

100 
IO1 

100 

toi 

IOO 

50 
40 
30 

20 

IO 

HI 

o 

9.634  2491 

«ii 

9.6788211 

C42 

0.321  1789 

9-955  4*8o 

IOI 

o 

29 

IO 
20 

3° 

40 
50 

9.634  2932 

9-634  3373 
9.634  3814 
9.6344255 
9.634  4696 

441 
441 
441 
441 

AA\ 

9.678  8753 
9.678  9295 
9.678  9836 
9.6790377 
9.6790919 

54* 
54i 
541 
54* 

541 

0.321  1247 
O.32I  0705 
0.3H  Ol64 
0.320  9623 
0.320  908l 

9-955  4179 
9-955  4079 
9-955  3978 
9-955  3»78 
9-955  3777 

IOO 
ZOI 
IOO 
IOI 
IOI 

50 
40 

30 

20 

IO 

32 

o 

9.6345137 

AAO 

9.679  1460 

S4* 

0.320  8540 

9-955  3676 

IOO 

o 

28 

IO 

20 

3«> 

40 

5° 

9-634  5577 
9.634  6018 
9.634  6459 
9.6346899 
9.634  7340 

44! 
441 

44° 
441 

AAO 

9.679  2OO2 
9.679  2543 
9.679  3084 
9.679  3625 
9.6794166 

54» 

541 
541 

54» 

«4J 

0.3207998 

0-3*07457 
0.3206916 

0.320  6175 
0.320  5834 

9-955  3576 
9-955  3475 
9-955  3375 
9-955  3*74 
9-955  3173 

IOI 
IOO 
IOI 
IOI 
IOO 

50 
40 

30 

20 
10 

33 

o 

9.634  7780 

9.6794708 

CAl 

0.320  5292 

9-955  3°73 

IOI 

o 

27 

10 

20 

3° 
40 

5° 

9.634  8221 
9.634  8661 
9.634  9101 
9.634  9542 
9.634  9982 

440 
440 
441 
440 

AAQ 

9.679  5249 
9.679  5790 
9.6796331 
9.6796871 
9.679  7413 

541 
541 
541 

541 

€40 

0.3204751 
0.320  4210 
0.320  3660 
0.3203128 
0.320  2587 

9-955  *97* 
9-955  *8?i 
9-955  *77i 
9-955  *67° 
9-955  2569 

IOI 
IOO 
IOI 
IOI 
IOO 

50 

40 

30 

20 
10 

34 

o 

9.635  0422 

AAQ 

9.679  7953 

€41 

0.3200047 

9-955  *469 

IOI 

o 

26 

IO 

20 

30 

40 

5° 

9.635  0862 
9.635  1302 
9.635  1742 
9.635  2182 
9.635  2622 

440 
440 
440 
440 
44° 

9.679  8494 
9.679  9035 
9.679  9576 
9.6800116 
9.6800657 

54» 
54» 

540 
54i 

541 

0.320  1506 
0.3200965 
0.3200424 
0.3199884 
°-3i99343 

9-955  *368 
9-955  "67 
9.955  2166 
9.955  2066 
9-955  1965 

IOI 
IOI 
IOO 
IOI 
IOI 

50 
40 
30 

ao 

10 

35 

o 

9.635  3062 

439 

9.680  1198 

54° 

0.319  8802 

9-955  1864 

IOI 

0 

25 

IO 

20 

3° 
40 

S° 

9.635  3501 

9-635  394i 
9.6354381 
9.635  4820 
9.635  5260 

440 
440 
439 
44° 

43Q 

9.680  1738 
9.680  2279 
9.680  2819 
9.680  3360 
9.680  3900 

541 
540 

54i 
540 

<AO 

0.319  8262 
0.3197721 
0.319  7181 
0.319  6640 
0.3196100 

9-955  1763 
9.955  1662 

9  955  156* 
9-955  1461 
9  955  1360 

IOI 
IOO 
IOI 
IOI 
IOI 

50 
40 
30 

20 
IO 

36 

o 

9.635  5699 

AAff 

9.680  <\<\<\o 

S4I 

0.3195560 

9-955  «59 

IOI 

o 

24 

10 

20 

30 
40 

50 

9.635  6130 
9.635  6578 
9.635  7018 

9-635  7457 
9.635  7896 

439 

440 

439 
439 

430 

9.6804981 
9.6805521 
9.680  6061 
9.680  6601 
9.680  7142 

540 

540 
540 
54i 

C4O 

0.3195019 
0.3194479 
0.3193939 
0-319  3399 
0.319  2858 

9-955  «58 
9-955  1057 
9-955  0956 
9-955  0855 
9-955  0754 

IOI 
IOI 
IOI 
IOI 

IOI 

5° 

40 
30 

20 
10 

37 

o 

9.635  «335 

4.7  O 

9.6807682 

«4O 

0.319  2318 

9-955  0653 

IOI 

0 

23 

IO 
20 

3° 
40 

5° 

9.635  8774 
9.635  9213 
9.635  9652 
9.6360091 
9.6360530 

439 
439 
439 
439 
Aiq 

9.680  8222 
9.680  8762 
9.680  9302 
9.680  9842 
9.681  0382 

540 
540 
540 
540 

C-3Q 

0.3194778 
0.319  1238 
0.3190698 
0.3190158 
0.3189618 

9-955055* 
9-955  °45* 
9.9550351 

9-955  0*50 
9-955  0149 

IOO 
IOI 
IOI 
IOI 
IO2 

50 
40 
30 

20 

10 

38 

o 

9.6360969 

47Q 

9.681  0921 

«4O 

0.3189079 

9-955  0047 

IOI 

o 

22 

IO 
20 

30 
40 
50 

9.636  1408 
9.636  1846 
9.636  1285 
9.636  2724 
9.636  3162 

438 

439 

439 
438 
410 

q.68i  1461 
9.681  2001 
9.681  2541 
9.681  3080 
9.681  3620 

540 
540 

539 
540 

S4O 

0.318  8539 
0.3187999 
0.318  7459 
0.3186920 
0.3186380 

9-954  9946 
9-954  9»45 
9-954  9744 
9-954  9643 
9-954  954* 

IOI 
IOI 
IOI 
101 

roi 

5° 

4° 

30 

ao 

10 

39 

o 

9.636  3601 

4*8 

9.681  4160 

CIO 

0.318  5840 

9-9549441 

IOI 

o 

*21 

IO 

20 

30 
40 

5° 

9-6364039 
9.6364478 
9.636  4916 
9.636  5354 
9.636  5791 

«2 

43f 
438 

438 

A?Q 

9.681  4699 
9.681  5130 
9.681  577* 
9.681  6318 
9.681  6857 

540 

539 
540 

539 

C.2Q 

0.3185301 
0.3184761 
0.3184222 
0.318  3682 
0.318  3143 

9-954  9340 
9-9549*39 
9.9549138 

9-9549037 
9-9548935 

IOI 
IOI 
IOI 

101 
IOI 

5° 

40 
30 

20 

IO 

40 

o 

9.6366x31 

9.681  7396 

0.318  2604 

9-954  8834 

o 

20 

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d. 

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d.c. 

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Sin 

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542 

i  s«.« 

3   108.4 

3  162.6 

4  ii  6. 8 

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6  335.2 

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8  353.8 
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7  307.3 

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3  30.3 
440.4 

6  60^6 
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8  3S0.4 

9  394.2 


437 
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131.1 
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6  269.3 

7  305.9 

9  393-3 


435 

43.5 
87.0 
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174.0 

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6  961.0 

7  304.5 

8  348.0 

9  39M 


102 

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330.6 
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66i.a 
7  7L4 
881.6 
991.8 


1 

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d. 

Twig 

d.c. 

Cotg 

Cos 

d. 

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1 

40 

O 

9.636  6231 

R 

9.681  7396 

C4O 

0.318  2604 

9-9548834 

IOI 

o 

20 

IO 

xo 

30 
40 
50 

9.636  6669 
9.6367107 

9-636  7545 
9.636  7983 
9.636  8411 

438 
438 
43f 
438 

4)8 

9.681  7936 
9.681  8475 
9.681  9014 
9.681  9553 
9.682  0093 

5J9 
539 
539 
540 
114 

0.318  2064 
0.318  15x5 
0.3x80986 
0.3x80447 
0.3179907 

9-954  »733 
9-9548632 

9.954853I 
9-954  84*9 
9-954  °3*» 

XOI 
IOI 
IOX 
XOI 
IOI 

50 
40 
30 

20 
IO 

41 

o 

9.636  8859 

417 

9.682  0632 

0.3x7  9368 

9-954  8"7 

IOX 

o 

19 

10 

20 

30 
40 
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9.636  9196 
9.636  9734 
9.6370171 
9.637  0609 
9-637  1047 

438 

437 
438 

417 

9.682  1171 
9.682  1710 

9.682  2240 
9.682  2788 
9.682  3326 

539 
539 
539 
53* 

CIQ 

0.317  8819 
0.317  8x90 
0.3x7  7751 
0.317  7x11 
0.3176674 

9.954  8126 
9.954  8024 
9.9547023 
9.9547822 
9.954  7720 

xox 

IOI 
IOX 

xox 

IOI 

5° 

40 

3° 
20 

IO 

42 

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9.637  1484 

9.68l  3865 

ciq 

0.317  6135 

9.9547619 

IOI 

o 

18 

IO 
20 
30 
40 
50 

9.637  1912 
9-637  *359 
9-637  *-797 
9-637  3*34 
9.637  3671 

437 
43* 
437 
437 

417 

9.682  4404 
9.6814943 
9.68l  5481 
9.681  6O1O 
9.681  6559 

539 
539 
538 

539 
ciq 

0.3x7  5596 

0.317  5°57 
0.3x74518 
0.3x7  3980 
0.317  3441 

9.9547518 
9.9547416 

9-954  73  »5 
9.954  7214 

9-954  7«* 

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IOI 
IOI 
IOX 
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50 
40 
30 

20 

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43 

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9.637  4108 

41  8 

9.68l  7098 

0.3x7  2902 

9-954  7oxx 

IOI 

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17 

10 

10 

30 
40 

5° 

9.637  4546 
9.637  4983 
9.637  5420 

9-637  585? 
9.637  6294 

437 
437 
437 
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417 

9.681  7636 
9.682  8175 
9.682  8713 
9.682  9251 
9.681  9790 

539 
538 

s'i 

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0.3x7  2564 
0.317  1825 
0.3x7  1287 
0.317  0748 
0.3170110 

9-9546910 
9.9S468o8 
9-954  6707 
9.9546605 
9-954  6504 

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IOI 

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5° 

40 
30 

10 
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44 

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9.637  6731 

4.16 

9.683  03x8 

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0.3x6  9672 

9-954  6401 

XOI 

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16 

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30 

40 
50 

9.637  7167 

9.637  8041 
9.637  8477 
9.637  8914 

437 
437 

437 
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9.683  0867 
9.683  1405 
9.683  1943 
9.683  H" 
9.683  3019 

538 
538 

538 

0.3160133 
0.316  8595 
0.3168057 
0.316  7519 
0.3166981 

9-954  6301 
9-9546I99 
9.954  6098 

9-954  5996 
9-954  5»95 

IOI 
IOI 
IOX 
IOI 

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50 
40 

30 

20 
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45 

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9.637  9351 

9-683  3557 

539 

0.3166443 

9-954  5793 

XOI 

0 

15 

IO 

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30 
40 
50 

9.637  9787 
9.638  0224 
9.638  0660 
9.638  1096 
9.638  1533 

436 
436 

437 

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9.683  4096 
9.683  4634 
9.683  5x7x 
9.683  5709 
9.683  6247 

538 
537 
538 

518 

0.3165904 
0.3165366 
0.3164828 
0.3164291 
0.3163753 

9  954  569* 
9-954  5590 
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IOX 
IOI 
IOI 
IOI 

50 
40 
30 

20 
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46 

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9.638  1969 

446 

9-683  6785 

S18 

0.3163215 

9.9545184 

102 

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14 

10 

20 

30 
40 
50 

9.638  2405 
9.638  1841 
9.6383x77 

9-638  3713 
9.638  4149 

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9.683  7313 
9.683  7861 
9-683  8398 
9.683  8936 
9.683  9474 

538 
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0.3162677 
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0.3x6  1602 
0.316  1064 
0.316  0526 

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9.9544980 
9.9544879 
9-9544777 
9-9544675 

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IOI 
101 
101 
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40 
30 

20 

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47 

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9.6384585 

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9.6840011 

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9-9544574 

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13 

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30 
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9-638  5457 
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9.638  6328 
9.638  6764 

436 

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436 

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4.1  e 

9.6840549 
9.684  1086 
9.684  16x4 
9  684  xx6x 
9.684  2699 

537 
538 

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0.315  8914 
0.315  8576 
0.315  7839 
0.315  7301 

9-954447* 
9-9544370 
9.9544168 
9.9544167 
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IOX 
IOX 
IOX 
IOX 

50 
40 
30 

20 
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48 

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9.638  7199 

9.6843136 

til 

0.315  6764 

9-954  3963 

IOX 

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12 

xo 

20 

30 

40 
50 

9.638  7635 
9.638  8070 
9.638  8506 
9-638  8941 
9.638  9376 

430 
435 

9-684  3773 
9-^443" 
9.684  4848 

9.6845385 
9.684  5922 

538 

537 
537 
537 

C17 

0.315  6227 
0.3x5  5689 
0.315  5151 
0.31546x5 
0.315  4078 

9-954  3861 
9-954  3759 
9-954  3658 
9-9543556 
9-954  3454 

IOX 
IOI 

xox 
xox 
xox 

50 
40 
30 

20 
10 

49 

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9.638  98  ix 

9.684  6459 

ei7 

0-315  354i 

9-954  335* 

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11 

10 

20 

30 
40 
50 

9.639  0247 
9.639  0682 
9.639  III7 
9.639  I5S2 
9.639  1987 

435 
435 
435 
435 

4.1  < 

9.684  6996 

9.6847533 
9.684  8070 
9.684  8607 
9.6849144 

537 
537 
537 
537 

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0.315  3004 
0.315  2467 
0.315  1930 

0.315  »393 
0.3150856 

9.9543150 
9-954  3Mf 
9-954  3046 
9-954  *945 
9-954  *843 

102 
IO2 
IOI 
102 
IO2 

50 

40 
30 

20 
IO 

50 

o 

9.639  24" 

9.684  9681 

0.3150319 

9-954  *74i 

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10 

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H 

Cos 

d. 

Cotg 

d.  C. 

Tang 

Sin 

d. 

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Tang 

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Cos 

d. 

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50 

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9.639  i4zi 

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9.684  9681 

c*7 

0.3150319 

9-954  *74* 

IO1 

o 

10 

IO 

10 

30 
40 
50 

9.639  1857 
9.639  3191 
9.639  3716 
9.639  4161 
9.639  4596 

435 
434 
435 
435 

9.685  0118 
9.685  0755 
9.685  1191 
9.685  1818 
9.685  1365 

537 
536 
537 
537 
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0.3149781 
0.3140145 
0.3148709 
0.3148172 
o-3  »4  7635 

9.954  1639 
9-954  *537 
9-954  *435 
9-954  *333 
9-954  **3* 

101 

102 
102 
IO1 
IO2 

50 
40 
30 

IO 
IO 

51 

o 

9.639  5030 

9.685  1901 

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0.3147099 

9.9541119 

IO1 

o 

9 

IO 

10 

30 
40 

5° 

9.639  5465 

9-639  5899 
9.639  6334 
9.639  6768 
9.639  7103 

434 
435 
434 
435 

9.685  3438 
9.685  3975 
9.6854511 
9.685  5047 
9.685  5584 

537 
536 
536 
537 
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0.3146561 
0.3  14  6015 
0.3145489 

o-3  '4  4953 
0.3144416 

9.954  1017 
9-954  19*5 
9-954  »»*3 
9-954  i?*1 
9-954  1619 

IO1 
101 
IO2 

102 
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5° 

40 
30 

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52 

0 

9.639  7637 

434 

9.685  6110 

517 

0.3143880 

9-954  i5»7 

IO3 

o 

8 

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10 

30 
40 

5° 

9.6398071 
9.639  8505 
9.639  8939 

9-639  9373 
9.639  9807 

434 
434 
434 
434 
434 

9.685  6657 
9.685  7193 
9.685  7719 
9.685  8165 
9.685  8801 

536 
536 
536 
536 
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0-3I43343 
0.3141807 
0.3141171 

o-SH  i?35 
0.314  1199 

9.954  1414 
9.9541311 
9.954  1110 
9.9541108 
9.954  1006 

101 
IO1 
101 
101 
IO1 

50 
40 
30 

10 
10 

53 

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9.6400141 

434 

9.685  9338 

5l6 

0.3140661 

9.9540904 

IO1 

0 

7 

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10 
30 
40 
5° 

9.640  0675 
9.640  1109 
9.640  1543 
9.640  1977 
9.640  1410 

434 
434 
434 
433 

9.685  9874 
9.680  0410 
9.686  0946 
9.686  1481 
9.686  1018 

S3J 
536 

53f 
536 

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0.3140116 

o-3  '3  9590 
0.313  9054 
0.313  8518 
0.313  7981 

9.9540801 
9.9540699 
9-9546597 
9.9540495 
9-9540393 

103 

101 
101 
101 
101 

50 
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3° 

10 
10 

54 

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9.640  2844 

434 

9.686  1553 

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0-313  7447 

9.9540191 

103 

0 

6 

10 
20 

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40 

50 

9.640  3178 
9.6403711 
9.6404145 
9.6404578 
9.640  5011 

434 

433 
434 
433 
433 
4.14 

9.686  3089 
9.686  3615 
9.6864161 
9.686  4697 
9.686  5131 

536 

53t 
536 

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0.313  6911 
0.313  6375 
0.313  5839 
0.313  5305 
0.3134768 

9.9540188 
9.954  0086 
9-953  998* 
9-953  9»8* 

9-953  9779 

104 
101 
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103 

IO1 

50 
40 
30 

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10 

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9.640  5445 

A  -1-1 

9.686  5768 

535 

0.3134131 

9-953  9677 

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5 

10 

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30 

40 

5° 

9.640  5878 
9.6406311 
9.640  6744 
9.640  7178 
9.6407611 

433 
433 
434 
433 

9.686  6303 
9.686  6839 
9.686  7374 
9.686  7910 
9.686  8445 

536 

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536 

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0.313  3697 
0.313  3161 
0.313  1616 
0.313  1090 
0.313  1555 

9-953  9575 
9.953  9471 
9-953  9370 
9-953  9*68 
9-953  9165 

103 

101 

101 

103 

IO1 

50 
40 
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10 
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9.640  8044 

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9.686  8981 

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0.313  1019 

9-953  9063 

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3° 
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5° 

9.640  8477 
9.640  8909 
9.6409341 
9.640  9773 
9.641  0108 

433 
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433 
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9.6869516 
9.687  0051 
9.687  0587 
9.687  mi 
9.687  1657 

535 
536 
535 
535 

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0.313  0484 
0.311  9949 
0.3119413 
0.311  8878 
0.311  8343 

9-953  8960 
9-953  8858 
9-953  8756 
9-953  8653 
9-953855I 

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103 

IO1 

103 

50 
40 
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10 

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9.641  0640 

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9.687  1191 

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0.3117808 

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40 

5° 

9.641  1073 
9.641  1506 
9.641  1938 
9.641  1371 
9.641  1803 

433 

433 
431 

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9.687  1717 
9.687  3261 

9-68?  3797 
9.687  4331 
9.687  4867 

535 
535 
535 

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0.3117173 
0.3116738 
0.3116103 
0.3115668 
0.3115133 

9-953  8346 
9.953  8143 
9-953  8141 
9-953  8038 
9-953  7936 

103 

IO1 

103 

IO1 

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50 
40 
30 

IO 
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9.641  3135 

9.687  5401 

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0.3114598 

9-953  7833 

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30 
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50 

9.641  3668 
9.641  4100 
9.641  4531 
9.641  4964 
9.641  5396 

433 
43* 
43* 
43* 
43* 

9-687  5937 
9.687  6471 
9.687  7007 
9.687  7541 
9.687  8076 

535 
535 
534 
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0.3114063 
0.3113518 
0.3111993 
0.311  1459 
0.311  1924 

9-953  773' 
9.953  7618 

9-953  75*6 
9-953  74*3 
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103 

101 

103 
103 

IOZ 

50 
40 
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9.641  5818 

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9.6878611 

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0.311  1389 

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40 

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9.641  6160 
9.641  6691 
9.6417114 
9.641  7556 
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43* 
43* 
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9.687  9145 
9.687  9680 
9.688  0114 
9.688  0749 
9.68*  1183 

535 
534 
535 
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0.3110855 
0.3110310 
0.311  9786 
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0.311  8717 

9.9537115 

9-953  7013 
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9-953  6807 
9-953  6705 

101 

103 

103 

101 

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40 
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9.641  8410 

9.688  1818 

0,311  8181 

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0.311  8182 

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3° 
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9.641  8851 
9.641  9183 
9.641  9714 
9.641  0146 
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43» 

43* 
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4.-IJ 

9.688  2352 
9.688  2886 
9.688  3421 
9.688  3955 
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534 
535 
534 
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0.311  7648 
0.311  7114 
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9-953  6499 
9-953  6396 
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9  953  6'9' 
9.953  6088 

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102 
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40 
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9.641  1009 

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9.688  5023 

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0.3114977 

9-953  5985 

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10 
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3° 
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9.641  1440 
9.641  1871 
9.642  1303 
9.641  1734 
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43* 
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9.6885557 
9.688  6091 
9.688  6626 
9.6887160 
9.688  7694 

535 
534 
534 

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0.3114443 
0.311  3908 

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0.311  2840 
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3° 
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0.301  4733 
0.301  4106 
0.301  3679 

9.951  6546 
9.951  6441 
9.951  6336 
9.951  6231 
9.951  6125 

9.650  1868 

9.698  6847 

0.301  3153 

9.951  6020 

9.650  3189 
9.6503710 
9.6504131 
9.6504553 
9.6504974 

9.698  7374 
9.698  7900 
9.698  84*7 
9.698  8953 
9.698  9480 

0.301  2616 

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0.301  1573 
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9.6990533 
9.699  1059 
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0.3000467 
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0.300  7889 
0.300  7363 

9.951  518? 
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9.951  5073 
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9.951  4019 
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9.651  1966 

9.699  9474 

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9.651  3786 
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9.651  4116 
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9.7000000 
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0.199  7372 

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9.9510850 
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30 

20 
IO 

23 

o 

9.662  7026 

4O7 

9-7*4  3*45 

Cje 

0.285  6855 

9-948  3881 

IOO 

O 

37 

IO 

20 

3° 
40 

S° 

9.662  7433 
9.662  7839 
9.662  8245 
9.662  8652 
9.662  9058 

«* 
406 

407 

9.7143660 
9.7144176 
9.7144691 
9.714  5207 
9.714  5722 

516 

5*5 
516 

5*5 

SIS 

0.285  6340 
0.285  5824 
0.285  5309 
0.285  4793 
0.285  4*78 

9.948  3772 
9.948  3663 
9-948  35.54 
9-948  3445 
9.948  3336 

109 

*°9 
109 
109 

5° 

40 

3° 

20 
IO 

24 

o 

9.662  9464 

in6 

9.714  6237 

516 

0.285  37^3 

9.948  3227 

IOQ 

O 

36 

10 

20 

30 
40 
50 

9.662  9870 
9.663  0276 
9.663  0682 
9.663  1089 
9.663  1494 

4^ 
406 

407 

*% 
406 

9-7*4  6753 
9.7147268 
9.714  7783 
9.714  8299 
9.7148814 

5»5 

5II 
516 

5*5 
515 

0.285  3*47 
0.285  *73* 
0.285  ***7 
0.285  *7°* 
0.285  "86 

9.9483"8 
9.9483008 
9.948  2899 
9.948  2700 
9.948  2681 

110 
109 
109 
109 
IO9 

50 
40 

30 

20 

IO 

25 

o 

9.663  1900 

406 

9.7149329 

515 

0.285  0671 

9.948  2572 

no 

o 

35 

10 

20 

3° 
40 

5° 

9.663  2306 
9.663  1712 
9.663  3118 
9.663  3524 
9.663  3919 

406 

^ 
406 

405 

9.714  9844 

9.715  °359 
9.715  0874 
9.715  1389 
9.715  1904 

5*5 
5*5 
5*5 
5*5 

or 

0.285  0*56 
0.284  9^41 
0.284  9**6 
0.2848611 
0.2848096 

9.948  2462 
9.948  2353 
9.948  2244 

9-948  *i35 
9.948  20*5 

109 
109 
109 

no 
too 

50 
40 
30 

20 

IO 

26 

0 

9.663  4335 

9.715  24*9 

eic 

0.284  7581 

9.948  1916 

IOQ 

o 

34 

IO 

20 

30 

40 

5° 

9.663  4741 
9.663  5146 
9.663  5552 

9  6f3  5957 
9.663  6362 

^ 
406 

405 
405 

9.715  1934 
9-7*5  3449 
9-7*5  3964 
9.715  4478 

9-7I5  4993 

5*5 
5*5 
5*4 
5*5 

CIS 

0.284  7°66 
0.2846551 
0.284  6036 
0.2845522 
0.284  5<»7 

9.948  1807 
9.948  1607 
9.948  1588 
9.948  1479 
9.948  1369 

no 
109 
109 

no 

IOQ 

50 
40 
30 

20 

IO 

27 

o 

9.663  6768 

AOC 

9.715  5508 

{14. 

0.284  449* 

9.948  1160 

IOQ 

o 

33 

IO 

20 

30 
40 

5° 

9.663  7175 
9.663  7578 
9.663  7984 
9.603  8389 
9.663  8794 

4°5 
406 
405 
405 

9.715  6022 
9.715  6537 
9.715  7052 
9.715  7566 
9.715  8081 

5*5 
5*5 
5*4 
5*5 

CIA. 

0.284  3978 
0.284  3463 
0.284  *94*> 
0.284  *434 
0.284  *9*9 

9.948  1151 
9.948  1041 
9.948  0032 
9.948  0822 
9.948  0713 

no 
109 
no 
109 

IOQ 

50 

40 

30 

20 

IO 

28 

o 

9.663  9199 

9-7*5  «595 

CIS 

0.284  1405 

9.948  0604 

IIO 

0 

32 

IO 

20 

30 

40 

5° 

9.663  9604 
9.664  0009 
9.6640414 
9.664  0819 
9.664  1224 

405 
405 
405 
405 

9.715  9110 
9.7159624 
9.7160139 
9.7160653 
9.716  1167 

5*4 
5*5 
5*4 
5*4 

CIC 

0.284  0890 
0.284  0376 
0.283  986* 
0.283  9347 
0.283  8833 

9.948  0494 
9.948  0385 
9.948  0275 
9.948  0160 
9.9480056 

109 
IIO 

109 

IIO 
IOQ 

50 
40 

30 

20 

10 

29 

o 

9.664  1628 

9.716  1682 

C.Id 

0.2838318 

9-947  9947 

i  to 

o 

31 

IO 

20 

30 
40 

5° 

9.664  2033 
9.664  2438 
9.664  2842 
9.664  3047 
9.664  3652 

405 
404 
405 
405 

9.716  2196 
9.716  2710 
9.716  3224 
9-7*63739 
9.716  4253 

5*4 
5*4 
5'5 
5*4 

CI4. 

0.183  7804 
0.283  7290 
o  283  6776 
0.283  6261 
0.283  5747 

9-947  9837 
9.947  9728 
9.9479618 
9  947  95°8 
9  947  9399 

109 
IIO 
IIO 

109 

IIO 

S° 

40 
30 

10 
IO 

30 

o 

9.664  4056 

9.7164767 

0.283  5*33 

9  947  9*89 

o 

30 

i 

II 

Cos 

d. 

Cotg 

d.c. 

Tang 

Sin 

d. 

N 

i 

62C 


27C 


455 


1 

n 

Sin 

d. 

Tang 

d.c 

Cotg 

Cos 

d. 

II 

1 

30 

o 

9.6644056 

Af\A 

9.7164767 

CIA 

o-*83  5*33 

9-947  9**9 

IOQ 

o 

30 

10 

ao 
30 
40 
50 

9.6644460 
9.6644*65 
9.664  5169 
9.664  5675 
9.664  6078 

4°5 
404 
404 
405 

AOd 

9.716  5281 
9.716  (795 
9.716  6309 
9.716  6813 
9.716  7337 

5*4 
5*4 
5«4 
5*4 
$14 

0.183  47*9 
0-183  4105 
0.283  369* 
o-**3  3*77 
0.183  1663 

9.947  9180 

9-947  9°7° 
9.947  8960 
9-947  8851 
9-947  874* 

110 

no 

109 

no 
no 

50 
40 
30 

20 
IO 

31 

o 

9.664  6482 

AC\A 

9.7167851 

(14 

0083  1149 

9-947  8631 

IOQ 

o 

29 

IO 
10 

30 

40 
50 

9.664  6886 
9.664  7190 
9.664  7694 
9.664  8098 
9.664  8502 

404 
404 

404 
404 

AQA 

9.716  8364 
9.716  8878 
9.716  9391 
9.716  9906 
9.717  0419 

5*4 

5*4 
5*4 
5*3 

CIA. 

0.183  1636 

0,283  1  1  22 
0.2830608 
O.l83  0094 
O.l8l  9581 

9-947  85** 
9-947  84** 
9-947  8301 
9-947  8133 
9.947  80*3 

no 

no 
109 

1  10 

no 

50 
40 
30 

IO 

xo 

32 

o 

9.664  8906 

9.717  0933 

(11. 

O.lSl  9067 

9-947  7973 

IIO 

o 

28 

10 
20 
30 
4° 
5° 

9.6649310 
9.664  9714 
9.665  01  1  8 
9.665  0511 
9.665  0915 

404 
404 
403 
404 

9.717  1447 
9.717  1960 
9.717  1474 
9.717  1987 
9.717  35°* 

5*3 
5*4 
5*3 
5*4 

(14 

O.l8l  8553 
O.l828040 
O.l8l  7516 
O.l8l  7013 
6.l82  6499 

9.947  7863 
9-947  7753 
9-947  7644 
9-947  7534 
9-947  74*4 

1  10 

109 

IIO 
XIO 
IIO 

50 

40 

30 

20 

10 

33 

0 

9.665  1319 

9.7174014 

CIA. 

0.282  5986 

9-947  73*4 

IIO 

o 

27 

IO 
10 

30 
40 

5° 

9.665  1731 
9.665  1136 
9.665  1539 
9.665  1943 
9.665  3346 

404 
403 
404 
4«>3 

Any 

9.71745*8 
9.717  5041 

9-7i7$555 
9.717  6068 
9.717  6581 

5*3 
5*4 
5*3 
5*3 

(14 

0.282  547* 
0.181  4959 
0.181  4445 
0.181  3931 
0.281  3419 

9-947  7*04 
9-947  7095 
9.947  6985 
9-947  6875 
9.947  6765 

109 

1  10 
IIO 
IIO 
IIO 

50 
40 

30 

IO 
IO 

34 

o 

9.665  3749 

9.717  7094 

0.281  2906 

9.947  6655 

o 

26 

IO 
10 

30 
40 
50 

9.665  4151 
9.665  4556 
9.665  4959 
9.665  536* 
9.665  5765 

4°4 

403 
403 
403 
403 

4O? 

9.717  7608 
9.717  8111 
9.717  8634 
9.717  9147 
9.717  9660 

5*3 
5*3 
5*3 
5*3 

$13 

0.181  1491 
0.181  1879 
0.181  1366 
0.182  0853 
0.181  0340 

9-947  6545 
9-947  6435 
9.947  6315 

9-947  6215 
9.947  6105 

110 
IIO 
IIO 

no 
no 

50 
40 
30 

20 
IO 

35 

o 

9.665  6168 

4O4 

9.7180173 

CI1 

0.281  9817 

9-947  5995 

IIO 

o 

25 

10 

10 

30 
40 
50 

9.665  6571 
9.6656974 
9.665  7377 
9.665  7780 
9.665  8183 

403 
403 
403 
403 

9.718  0686 
9.718  1199 
9.718  1712 

9.718  MIS 
9.718  1738 

5*3 
5*3 
513 
5*3 

0.281  0214 
00818801 
0.281  8188 
0.181  7775 
0.18  1  7161 

9-947  5885 
9-947  5775 
9-947  5665 
9-947  5555 
9-947  5445 

XIO 
IIO 
IIO 
IIO 

50 
40 

30 

IO 
IO 

36 

o 

9.665  8586 

4°3 

9.7183151 

0,281  6749 

9-947  5335 

0 

24 

IO 
IO 

30 

40 

50 

9.665  8989 
9.665  9391 
9.665  9794 
9.666  0196 
9.666  0599 

403 
401 
403 
401 
403 

9.7183764 
9.7184276 
9.7184789 

9.718  5701 

9.718  5815 

5*3 

5" 
5*3 
513 
513 

0.281  6136 
0.281  5714 
0.181  5111 
0.18  1  4698 
0.281  4185 

9-947  5**5 
9-947  5"5 
9-947  5°°5 
9-947  4895 
9.947  4784 

IIO 
IIO 
IIO 

III 

50 
40 
30 

10 
IO 

37 

o 

9.666  1001 

9.718  6317 

51* 

0.181  3673 

9.947  4674 

0 

23 

IO 
10 

30 
40 

S° 

9.666  1404 
9.666  1806 
9.6662109 
9.666  2611 
9.666  3013 

401 
403 
401 
401 

9.718  6840 

9.718  7551 
9.718  7865 
9.718  8377 
9.7188890 

5» 
5*3 

511 

5*3 

(12 

0.181  3160 
0.18  1  1648 
0.181  1135 
0.281  1613 
0.181  1  no 

9-947  4564 
9-947  4454 
9-947  4344 
9.9474134 

9-94  7  4*  *3 

IIO 
IIO 

IIO 

III 

XIO 

50 
40 
30 

10 
IO 

38 

o 

9.666  3415 

9.718  9401 

0.281  0598 

9.9474013 

XIO 

o 

22 

10 

IO 

3° 

40 

5° 

9.666  3818 
9.666  4110 
9.666  4611 
9.666  5014 
9.666  5416 

4°3 
401 
401 
401 
401 

9.718  9915 
9.7190417 
9.7190939 
9.719  1451 
9.719  1964 

5" 
511 

5'3 
5" 
CIS 

0.18  1  0085 

0.1809573 

0.180  9061 
0.180  8548 
0.180  8036 

9-947  3903 
9-947  3793 
9-947  3681 
9-947  357* 
9.947  3461 

IIO 

III 

IIO 
IIO 
IIO 

50 
40 
30 

10 
10 

39 

0 

9.666  5828 

9.719  1476 

0.280  7524 

9-947335* 

III 

o 

21 

10 

20 

30 
4° 

5° 

9.666  6219 
9.666  6631 
9.666  7033 
9.666  7435 
9.666  7836 

401 
401 
402 
401 

9.719  1988 
9.719  3500 
9.7194013 

9-71945*5 
9.719  5037 

5** 
5*3 
5** 
5** 

CIl 

0.1807011 
0.180  6500 
0.180  5987 
0.180  5475 
0.280  4963 

9-947  3*4* 
9.947  3131 
9.947  3011 
9-947  *9*o 

9.947  1800 

IIO 
IIO 

III 

IIO 
III 

50 
40 
30 

IO 
10 

40 

0 

9.666  8138 

9-719  5549 

0.1804451 

9  947  *689 

0 

20 

i 
• 

M 

Cos 

d. 

Cotg 

etc. 

Tang 

Sin 

d. 

•» 

1 

62e 


456 


2T 


I 

n 

Sin 

d. 

Tang 

d.  c. 

Cotg 

Cos 

d. 

II 

, 

40 

o 

9.666  8238 

AO1 

9-719  5549 

cn 

0.1804451 

9.947  1689 

0 

9,0 

512 
i    SL« 

2  109.4 

3  «S3.6 

4  204.8 
S  256.0 

10 
20 

3° 

40 

5° 

9.666  8640 
9.666  9041 
9.666  9443 
9.666  9844 
9.667  0246 

401 
402 
401 
402 

9.719  6061 

9-7I9  6573 
9.719  7084 
9.719  7596 
9.719  8108 

5»* 
5" 
511 
511 

CI2 

0.280  3939 
0.280  3427 
0.180  1916 
0.1801404 
0.180  1891 

9-947  »579 
9-947  H69 
9.947  1358 
9.947  1148 
9.947  1137 

no 
in 
no 
III 

no 

50 

40 
30 

20 

IO 

6307.1 

4-1 

o 

9.667  0647 

9.719  8620 

CI2 

0.180  1380 

9.947  2017 

in 

o 

19 

8409.6 
9  460.8 

10 
20 

3° 

40 
50 

9.667  1048 
9.667  1449 
9.667  1851 
9.667  2251 
9.667  2653 

401 
402 
401 
401 

AOI 

9.7199131 
9.7199644 
9.7100155 
9.710  0667 
9.7201179 

512 

5" 
511 
511 

c.11 

0.180  0868 
0.2800356 
0.179  9845 

0.279  9333 
0.279  8821 

9.947  1016 
9.947  1806 
9.947  1695 
9-947  1585 
9-947  H74 

no 
in 
no 
III 

IIO 

50 
40 
30 

20 

IO 

i    5  i.i 

42 

o 

9.667  3054 

9.720  1690 

ci2 

0.279  ^3  10 

9.947  1364 

III 

o 

18 

1    102.3 
J    «53-3 

»  204.4 
J  ZS5.5 
S  306.6 

7  3S7.7 

10 

20 

30 
40 
50 

9.667  3455 
9.667  3856 
9.667  4257 
9.667  4658 
9.667  5059 

401 
4OI 
4OI 
4OI 

9.71O  2202 
9.710  2713 
9.710  3115 
9.7103736 
9.7204248 

5" 
5" 
5" 
511 

CI  I 

0.279  7798 
0.179  7287 
0.179  6775 
0.179  6™4 
0.179  575* 

9-947  "53 
9-947  "43 
9.947  1032 

9-947  °9« 
9.9470811 

tio 
III 

IIO 

III 

III 

50 
40 
30 

20 

IO 

{408.8 

43 

o 

9.667  5459 

9.720  4759 

en 

0.279  5241 

9.947  0700 

IIO 

o 

17 

510 
51.0 

IO 

20 

30 
40 

50 

9.667  5860 
9.667  6261 
9.667  6661 
9.667  7061 
9.667  7463 

4OI 
4OI 
4OO 
4OI 

9.720  5270 
9.720  5781 
9.720  6293 
9.720  6804 
9.7207315 

512 
5" 
5" 
5" 

CII 

0-279  4730 
0.1794118 
0.179  3707 
0.1793196 
0.279  2685 

9-947  059° 
9-947  0479 
9-947  0363 
9.947  0258 
9-947  0'47 

III 

IIO 

III 
III 
III 

5° 
40 

30 
10 

IO 

'S3.o 

44 

o 

9.667  7863 

9.720  7827 

CII 

0.279  "73 

9-947  0036 

no 

0 

16 

>  204.0 
»S5.° 
306.0 

357.0 
408.0 

459.° 

10 

20 

30 
40 
50 

9.667  8264 
9.667  8664 
9.667  9064 
9.667  9465 
9.667  9865 

4OO 
40O 
401 
400 
4OO 

9.720  8338 
9.720  8849 
9.720  9360 
9.720  9871 
9.721  0382 

5" 
5" 
5" 
5" 
511 

0.179  1662 
0.279  1151 
0.279  0640 
0.2790129 
0.278  9618 

9.946  9926 
9.946  9815 
9.946  9704 
9.946  9594 
9.946  9483 

in 
in 
no 
in 

in 

50 

40 
30 
20 

IO 

45 

o 

9.668  0165 

4OO 

9.7210893 

511 

0.278  9107 

9.946  9372 

in 

o 

15 

401 

40.1 

80.2 

'20.3 

160.4 

IO 
10 

30 
40 
50 

9.668  0665 
9.668  1065 
9.668  1466 
9.668  1866 
9.668  2266 

4OO 
401 
4OO 
4OO 

9.721  1404 
9.721  1915 
9.721  2426 
9.721  2937 
9.721  3448 

5" 
5" 
5" 
5" 

CIO 

0.178  8596 
0.278  8085 
0.278  7574 
0.278  7063 
0.278  6552 

9.946  9261 
9.946  9150 
9.946  9040 
9.946  8929 
9.946  8818 

in 
no 
in 
in 
in 

50 

40 
30 

10 
IO 

240.6 

46 

o 

9.668  2665 

3VV 

9.721  3958 

en 

0.178  6042 

9.946  8707 

in 

o 

14 

280.7 
320.8 
360.9 

10 

10 

30 
40 
50 

9.668  3065 
9.668  3465 
9.668  3865 
9.668  4265 
9.668  4664 

400 
400 
400 
399 

9.721  4469 
9.711  4980 
9.721  5490 
9.721  6001 
9.721  6511 

5" 
510 

5" 
5" 

CIO 

0.278  5531 
0.178  5010 
0.1784510 

0.178  3488 

9.946  8596 
9.946  8485 
9.946  8375 
9.946  8264 
9.9468153 

in 

IIO 

III 
III 
III 

50 
40 
30 

IO 
10 

399 

47 

o 

9.668  5064 

9.711  7021 

CII 

0.278  2978 

9.946  8042 

III 

o 

13 

39-9 
79-8 
"9.7 
'59.6 
'99-5 
»39.4 
279.3 

IO 

20 
3° 

40 

So 

9.668  5464 
9.668  5863 
9.668  6263 
9.668  6661 
9.668  7061 

399 
400 

399 

400 

9.721  7533 
9.711  8043 
9.721  8554 
9.721  9064 
9.7119575 

510 

5" 

510 

5" 

CIO 

0.178  2467 
0.178  1957 
0.178  1446 
0.178  0936 
0.178  0415 

9.9467031 
9.946  7820 
9.946  7700 
9.946  7508 
9.946  7487 

III 

III 
III 
III 
III 

50 

40 

30 

10 

IO 

319.2 

48 

o 

9.668  7461 

39v 

9.722  0085 

CIO 

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9.695  8922 

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9-938  5349 
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9.933  1162 
9-933  1035 
9-933  0909 
9.933  0782 

9.7118393 

9.778  7737 

O.22I  1263 

9-933  0656 

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9-933  0656 

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40 
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9.7118744 
9.7119094 
9.7119444 
9.7119795 
9.711  0145 

350 
350 

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350 

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9.778  8114 

9.778  9168 
9.778  9645 
9.7790111 

477 
477 
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0.111  1786 

0.121  I1O9 
0.211  O831 

0.111  0355 
0.110  9878 

9-933  0519 
9-933  0405 
9.9330176 

9-933  0150 
9-933  0013 

116 

117 
116 

117 
126 

50 

40 
30 

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9.7110495 

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9-779  °599 

476 

O.120  9401 

9.931  9897 

117 

0 

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10 

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30 
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9.7110845 
9.7111195 
9.711  1546 
9.711  1896 
9.711  1146 

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350 
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9-779  *55* 
9.779  1019 

9-779  *505 
9.779  1981 

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476 
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o.iio  8915 
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0.110  7971 
0.110  7495 

0.210  7018 

9.931  9770 
9.931  9643 

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9.931  9390 
9.931  9163 

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9.711  1596 

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9-779  3459 

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0.1106541 

9.9319137 

117 

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9.711  1946 
9.7113195 
9.711  3645 
9.7113995 
9.7114345 

349 
350 

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9-779  3935 
9.7794411 
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9.931  9010 
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9.931  8757 
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350 
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9.780  1081 
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0.110  0347 
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9.931  7489 
9.931  7362 

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0.2149046 
0.214  8572 
0.214  8098 
0.214  7625 
0.214  7151 

9.931  3707 

9-93'  3578 
9.9313450 
9.931  3321 
9.931  3193 

120 
128 

"2 
128 

128 

5° 
40 

3° 
20 

IO 

23 

0 

9.7166387 

9-7*5  33*3 

471 

0.1146677 

9.931  3065 

120 

o 

37 

10 

20 

30 
40 

5° 

9.716  6732 
9.716  7077 

9-7'674*3 
9.716  7768 
9.7168113 

345 
346 

345 
345 

9.785  3796 
9.785  4270 

9-785  4743 
9.785  5217 
9  785  5690 

474 
473 
474 
473 

474 

0.2146204 
0.2145730 
0.214  5*57 
0.2144783 
0.2144310 

9.931  2936 
9.931  2808 
9.931  2679 
9.9312551 

9.931  24" 

128 

"2 
I2§ 

120 
I2B 

50 

40 

3° 

20 
IO 

?,4 

0 

9.716  8458 

9.785  6164 

471 

0.214  3836 

9.931  1294 

I2Q 

O 

36 

IO 

20 

30 
40 

5° 

9.716  8802 
9.7169147 
9.7169492 
9.716  9837 
9.717  0182 

345 
345 
345 
345 
344 

9.785  6637 
9.7857111 
9.785  7584 
9.785  8057 
9-785  8531 

474 
473 
473 
474 
473 

0.214  3363 
0.2142889 
0.214  2416 
0.214  1943 
0.214  '469 

9.931  2l65 
9.931  2037 
9.931  1908 
9.931  1780 
9.931  1651 

128 
120 
128 
129 
129 

50 
40 
30 

20 

IO 

25 

o 

9.7170526 

345 

9.785  9004 

473 

0.2140996 

9.931  1522 

128 

o 

35 

IO 

20 

3° 
40 

5° 

9.7170871 
9.717  1216 
9.717  1560 
9.717  1905 
9.717  2250 

345 
344 
345 
345 

9A4 

9-785  9477 
9.785  9951 
9.7860424 
9.786  0897 
9.786  1370 

474 
473 
473 
473 

474 

0.214  0523 
0.2140049 
0.113  9576 
0.213  9IO3 
0.213  8630 

9.931  1394 
9.931  1265 
9.931  1136 
9.931  IOO8 
9.931  0879 

119 
110 
128 
129 
129 

50 
40 

3° 

10 
IO 

26 

o 

9.717  2594 

14  C 

9.786  1844 

471 

0.213  8156 

9.931  0750 

128 

0 

34 

10 

20 

3° 

40 

5° 

9.717  2959 
9.717  3283 
9.717  3627 
9.717  3972 
9.7174316 

344 
344 
345 
344 

IAA 

9.7862317 
9.786  2790 
9.786  3263 
9.786  3736 
9.786  4209 

473 
473 
473 
473 

471 

0.113  7683 
0.213  7ZI° 
0.213  6737 
0.113  6264 
0.213  5791 

9.931  0622 
9.9310493 
9.9310364 
99310236 
9.931  0107 

119 

"2 
n8 

129 

1  24 

50 
40 

3° 

20 
IO 

27 

o 

9.7174660 

14  C 

9.786  4682 

4.71 

0.213  5318 

9.9309978 

I1Q 

O 

33 

10 

IO 

30 
40 

50 

9.717  5005 

9-7'7  5349 
9.717  5693 
9.7176037 
9.7176381 

344 
344 
344 
344 

144 

9-786  $155 
9.786  5628 
9.7X66101 
9.786  6574 
9.786  7047 

473 
473 
473 
473 

471 

0.113  4845 
0.113  4172 
0.213  3890 
0.113  34*6 
0.113  1953 

9.9309849 
9.9309720 
9.930  9592 
9.9309463 
9-93°9334 

120 
1*1 

129 
I29 
129 

5° 
40 
30 
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10 

28 

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9.7176725 

144 

9.786  7520 

471 

0.113  a48o 

9-930  9205 

1  20 

o 

32 

to 
20 

30 

40 
50 

9.7177069 
9.717  7413 

9-7I77757 
9.717  8101 
9.717  8445 

344 
344 
344 
344 

144 

9.786  7993 
9.786  8466 
9.786  8939 
9.7869411 
9.786  9884 

473 
473 

471 

473 

471 

0.213  1OO7 
0.213  1534 
0.113  I°6I 
0.213  0580 
0.213  ono 

9.9309076 
9.930  8947 
9.930  8819 
9.930  8690 
9.930  856l 

129 

12* 
119 
129 

I2Q 

5° 
40 
30 

20 
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29 

o 

9.717  8789 

9AA 

9.7870357 

471 

O.2I2  9643 

9.930  8432 

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31 

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20 

30 
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9.717  9131 
9.7179476 
9.717  9820 
9.7180164 
9.7180507 

343 
344 
344 
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9.787  0830 
9.787  1303 
9.787  1775 
9.787  1248 

9.787  1721 

473 
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473 
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471 

O.2Iiqi7O 
0.211  8697 
0.112  8225 
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0.211  7279 

9.930  8303 
9.930  8174 

9.930  8o4< 
9.9307916 
9.930  7787 

129 

129 

»*9 
129 

1  10 

50 
40 
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10 

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9.7180851 

9.787  3193 

0.212  6807 

9.930  7658 

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80 

r 

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Cos 

d. 

Cotg 

d.c. 

Tang 

Sin 

d. 

tl 

'.'.'  ;< 

58° 


31' 


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t 

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d. 

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d.  c. 

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d. 

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, 

30 

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9.7180851 

74.4 

9-7873I93 

473 

O.I  1  2  6807 

9.930  7658 

I1Q 

0 

30 

IO 

20 
30 
40 
50 

9.7181195 
9.718  1538 
9.718  i88a 
9.718  aai5 
9.718  1568 

343 
344 
343 
343 

244 

9.787  3666 
9.7874138 
9.7874611 
9.787  5083 
9-787  5556 

47* 
473 
47* 
473 

472 

0.2126534 
O.2I1  5861 
0.112  5389 
0.1114917 
0.2124444 

9.9307529 
9.930  7400 
9.9307171 
9.930  7142 
9.9307013 

i*9 
129 
129 
129 

I3O 

50 
40 
30 

20 

IO 

31 

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9.718  1913 

141 

9.787  6028 

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O.2I2  3972 

9.9306883 

1  20 

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29 

10 

20 
30 
40 
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9-7183*55 
971*3599 
9-7I8394* 
9.7184185 
9.7184618 

344 
343 
343 

343 
141 

9.787  6501 
9.787  6973 
9.787  7446 
9.787  7918 
9.7878391 

47* 
473 
47* 
473 

472 

0.212  3499 

O.2I2  3027 
O.2I2  2554 
O.2I2  2O82 
O.2I2  1609 

9.9306754 
9.930  6625 
9.930  6496 
9.930  6367 
9.930  6238 

129 
129 
129 
129 

1ZQ 

50 
40 
30 

20 

10 

32 

o 

9.7184971 

144 

9-787  8863_ 

471 

O.2I1  1137 

9.9306109 

no 

o 

28 

10 

ao 

30 
40 

5° 

9-7185315 
9.7185658 
9.7186001 
9.7186344 
9.7186687 

343 
343 
343 
343 
343 

9-787  9335 
9.787  9807 
9.788  0280 
9.788  0752 
9.788  1224 

47* 

473 
47* 

47* 
471 

0.1120665 
O.2I2OI93 
O.2JI  9720 
O.2II  9248 
O.2II  8776 

9-930  5979 
9.930  5850 
9.9305721 
9.930  5592 
9.930  5462 

129 
129 

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130 
119 

5° 
40 
30 
20 

IO 

33 

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9.7187030 

341 

9.788  1696 

47  1 

O.2II  8304 

9-93°5333 

I2Q 

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27 

IO 

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30 
40 
50 

9-7^737* 
9.7187715 
9.718  8058 
9.718  8401 
9.7188744 

343 
343 
343 
343 

141 

9.788  2169 
9.788  2641 
9.7883113 
9.7883585 
9.7884057 

47* 
47* 
47* 
47* 
471 

o.ni  7831 

0.1117359 
0.211  6887 
O.2II  6415 

0.21  1  5943 

9.930  5204 
9.930  5075 
9.930  4045 
9.9304816 
9.930  4687 

129 
130 
129 
129 

no 

50 
40 
30 

20 
10 

34 

0 

9.7189086 

«4» 

9-788  4529 

471 

0.11  1  5471 

9-9304557 

129 

O 

26 

IO 
20 

3° 
40 

50 

9-7  *  8  94*9 
9.718  977a 
9.7190114 

9.7190457 
9.7190799 

343 
34* 
343 
34* 
343 

9.788  5001 
9.788  5473 
9.788  5945 
9.788  6417 
9.788  6889 

47* 
47* 
47* 
47* 
47* 

0.1114999 

O.2II  4527 
O.2II  4055 
0.1113583 

o.ni  3111 

9.9304428 
9.930  4298 
9.9304169 
9.930  4040 
9.930  3910 

130 
129 
129 
130 
119 

50 
40 
30 
2O 
10 

35 

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9-7I9  "4* 

341 

9.7887361 

47* 

0.2  1  1  1639 

9.9303781 

130 

0 

25 

10 

10 

30 
40 

5° 

9.719  1484 
9.719  i8a7 
9.719  ai69 
9.7192511 
9.7191854 

343 
34* 
34* 
343 

341 

9.788  7833 
9.788  8305 
9.788  8777 
9.788  9149 
9.788  9710 

47* 
47* 
47* 
471 

471 

o.iii  1167 
0.11  1  1695 

0.2  1  1  1113 
O.1IIO75I 

o.iii  0280 

9.9303651 
9.9303522 
9.930  3392 
9.930  3263 
9.9303133 

129 
130 
119 
130 
129 

5° 
40 

30 
20 

10 

36 

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9.7193196 

341 

9.7890192 

471 

0.2109808 

9.9303004 

no 

o 

424 

10 
IO 

30 
40 

5° 

9-7I9  3538 
9.719  3880 

9-7»94**3 
9.7194565 
9.7194907 

34* 
343 
34* 
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741 

9.7890664 
9.789  1136 
9.789  1607 
9.789  1079 
9.7891551 

47* 
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0.1109336 

0.1  10  8864 
0.210  8393 
O.1IO791I 

o.no  7449 

9.930  2874 
9.930  2745 
9.9302615 
9.930  2486 
9.930  2356 

129 
130 
129 
130 

I  JO 

50 
40 

30 

20 
10 

37 

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9.719  5149 

14.1 

9.789  3023 

471 

0.2106977 

9.930  2226 

119 

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23 

10 

10 
30 
40 
50 

9.7195591 
9-7'9  5933 
9-7»96*7S 
9.7196617 
9.7196959 

34* 
34* 
34* 
34* 

341 

9-789  3494 
9-789  39*6 
9-7894437 
9.789  4909 
9.789  5380 

47* 
47i 
47* 
471 

472 

0.110  6506 
o.i  10  6034 
o.no  5563 
o.no  5091 
o.no  4620 

9.930  2097 
9.930  1967 
9-930  1837 
9.930  1708 
9.930  1578 

130 
130 
119 
130 
1  20 

5° 
40 
30 
10 

IO 

38 

0 

9.7197300 

341 

9.789  5852 

A.11 

0.1104148 

9.930  144* 

I2Q 

o 

22 

IO 

ao 

3° 
40 

50 

9.719  7641 
9.719  7984 
9.719  8316 
9.719  8667 
9.719  9009 

34* 
34* 
341 
34* 
341 

9.789  6323 
9.789  6795 
9.789  7266 
9.789  7738 
9.789  8209 

47* 
47* 
47* 
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471 

0.110  3677 

0.210  3205 
0.210  2734 

o.no  1162 
0.110  1791 

9.930  1319 
9.9301189 
9.930  1059 
9.9300929 
9.930  0800 

130 
I3O 
130 
129 

i»o 

50 
40 
30 

20 

10 

39 

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9.7199350 

341 

9.789  8681 

471 

0.110  1319 

9.930  0670 

no 

o 

21 

IO 

ao 
3<> 
4° 
50 

9.719  9691 
9.7100034 
9.7100375 
9.7100717 
9.710  1058 

341 

34* 
34* 
341 

241 

9.7899151 
9.7899613 
9.7900005 
9.790  0566 
9.790  1037 

47* 
47* 
47* 
47* 

0.1100848 
0.110  0377 

0.109  9905 

0.109  9434 
0.109  8963 

9.9300540 
9.9300410 
9.930  0181 
9.9300151 
9.930  ooii 

130 
129 
130 
130 
no 

50 
40 
30 

20 

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40 

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9-7*o  »399 

9.790  1508 

0.1098491 

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d.  c. 

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5  336.0 

6  283.3 
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471 

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a    94.2 

3  '4».3 

4  '88.4 

5  33S.5 

6  282.6 

7  3*9-7 

8  376.8 

9  433.9 


343 

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3  68.6 
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6  205.8 

7  340.1 

8  274.4 
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342 

1  34.* 

2  68.4 

3  ioa.6 

4  136.8 

5  »7».« 

6  205.9 

7  339.4 

8  273.6 
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129 
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64.5 
77.4 
90.3 

103. i 
1 1 6.  i 

130 

16.0 

39-° 
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3  '4«.3 

4  188.4 

5  23S.3 

6  182.6 

7  3^9-7 
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9  423.9 


470 

47.o 
94.0 
141.0 
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282.0 


3»9.o 
376.0 


9  423-0 


341 
34.x 
68.3 

102.3 

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170.5 

204.6 

238.7 


272.8 

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340 
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68.0 
102.0 
136.0 
170.0 

6  204.0 

7  »38.o 


272.0 


9306.0 


339 

33.9 
67.8 
101.7 
135.6 


7  237.3 

8  271.2 
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130 

xl-° 
26.0 

39.0 
Sa.o 
65.0 
78.0 


9  117.0 


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Sin 

d. 

Tang 

d.c. 

Cotg 

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d. 

n 

1 

40 

o 

9.7101399 

141 

9.790  1508 

471 

0.109  8491 

9.929  9891 

o 

?0 

to 

00 

30 
40 
5° 

9.710  1741 
9.710  2081 
9.710  1413 
9.710  1764 
9.7103106 

341 
34* 
341 

34* 

141 

9.790  1980 
9.7900451 
9.790  1911 

9-790  3393 
9.790  3864 

471 

471 

47  * 
47' 

471 

0.109  8010 
0.109  7549 
0.109  7°7» 
0.109  &6°7 
0.1096136 

9.929  9761 
9.919  9631 
9.919  9501 
9.9299371 
9.919  9241 

130 
130 
130 
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no 

50 
40 
30 
10 

IO 

41 

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9.710  3447 

541 

9-79°433S 

471 

0.209  5665 

9.9299111 

no 

o 

19 

IO 

10 

30 
40 
50 

9.710  3788 
9.7104119 
9.7104470 
9.7104811 
9.7105151 

34' 
34» 
34' 
34' 

141 

9.7904806 
9.790  5177 
9-790  5748 
9.790  6119 
9.790  6690 

47' 

471 
47» 
47» 
471 

0.1095194 
0.1094713 
0.109  4251 
0.109  3781 
0.1093310 

9.929  8981 
9.929  8851 
9.919  8711 
9.929  8501 
9.919  8461 

130 
130 
130 
130 

HO 

50 
40 
30 

20 
IO 

42 

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9.710  5493 

741 

9.7907161 

471 

0.109  *839 

9.9198331 

III 

O 

18 

IO 
10 

30 

40 
50 

9.7105834 
9.7106175 
9.7206515 
9.710  6856 
9.7107197 

34* 
340 

34i 
34i 
14.1 

9.790  7631 
9.7908103 
9.790  8574 
9.790  9045 
9.7909516 

471 
47» 
471 
47' 
471 

0.109  J368 
0.209  1897 
0.109  1416 
0.109  °955 
0.209  0484 

9.919  8101 
9.919  8071 
9.919  7941 
9.9197811 
9.919  7681 

130 
130 
130 
130 

no 

50 
40 
30 
2O 
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43 

0 

9.7107538 

14O 

9.7909987 

47O 

0.1090013 

9.9197551 

HO 

o 

17 

IO 

20 

30 
40 
50 

9.710  7878 
9.7*0  8119 
9.710  8560 
9.710  8900 
9.710  9141 

341 
341 
340 

34' 
14.0 

9.791  0457 
9.791  0918 
9-79'  1399 
9.791  1870 
9.791  1340 

47* 
47* 
47* 
470 
471 

0.208  9543 
o.zoS  9071 
0.108  8601 
0.108  8130 
0.108  7660 

9.919  7411 
9.919  7191 
9.919  7161 
9.919  7030 
9.919  6900 

130 
130 
131 
130 

no 

50 
40 
30 

20 

IO 

44 

0 

9.7109581 

14.1 

9.791  18  1  1 

471 

0.108  7189 

9.929  6770 

HO 

o 

16 

IO 

20 

30 
40 
50 

9.7109911 
9.711  0162 
9,711  0601 
9.711  0943 
9.711  1183 

340 
340 
34' 
340 

34° 

9.791  3181 
9.791  3751 
9.791  4113 
9.791  4694 
9.791  5164 

470 

47* 
47* 
470 

47* 

0.208  6718 
0.208  6148 
0.208  5777 
0.108  5306 
0.108  4836 

9.919  6640 
9.919  6510 
9.919  6379 
9.929  6149 
9.919  6119 

130 

*3* 
130 
130 
130 

50 
40 
30 

20 

TO 

45 

o 

9.711  1613 

341 

9-791  5635 

470 

0.108  4365 

9.929  5989 

*3* 

O 

15 

10 
IO 

30 
40 

5° 

9.711  1964 
9.711  1304 
9.711  1644 
9.711  1984 
9.711  3314 

340 
340 
340 
340 

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9.791  6105 
9.791  6576 
9.791  7046 
9.791  7517 
9.791  7987 

47* 
470 
47* 
470 

471 

0.108  3895 
0.208  3414 
0.208  2954 
0.208  2483 
0.208  1013 

9.919  5858 
9.929  5728 
9.929  5508 
9.929  5467 
9-9*9  5337 

130 
130 
131 
130 

i?o 

50 
40 
JO 
20 
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46 

o 

9.711  3664 

1AO 

9.791  8458 

47O 

0.108  1541 

9.919  5107 

in 

0 

14 

IO 

20 

30 
40 
50 

9.711  4004 
9.711  4344 
9.711  4684 
9.711  5014 
9.711  5364 

340 
340 
340 
340 

9.791  8918 
9.791  9398 
9.791  9869 
9.791  0139 
9.7910809 

470 

47* 
470 
470 

471 

0.208  1072 
0.208  0602 
0.1080131 
0.107  9661 
0.207  9191 

9.919  5076 
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128.0 
160.0 
193.0 
224.0 
256.0 
288.0 


819 

31.9 
63.8 

95.7 
127.6 

'S9.S 
'9I-4 
"3.3 
355.2 
i  387.1 


138 

13.8 
37.6 
4L4 
SS.a 
69.0 
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96.6 


139 


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83.4 
97-3 


I35.I 


1 

« 

Sin 

d. 

Tang 

d.c. 

Cotg 

Cos 

d. 

n 

1 

20 

o 

9-739  9748 

iao 

9.818  0347 

458 

0.181  9653 

9.911  9401 

118 

o 

40 

IO 

00 

30 
40 
50 

9.740  0068 
9.7400388 
9.740  0708 
9.740  1018 
9.740  1348 

310 
310 

310 
310 
310 

9.8180805 
9.818  1164 
9.818  1711 
9.8181181 
9.818  1640 

459 
458 

459 

452 
4ii 

0.181  9195 
0.181  8736 
0.181  8178 
0.181  7819 

0.181  7360 

9.911  9163 
9.911  9104 
9.911  8986 
9.911  8847 
9.911  8709 

130 

*3* 
130 
138 
no 

50 
40 
30 

10 
IO 

21 

0 

9.740  1668 

110 

9.818  3098 

4.CQ 

0.181  6900 

9.901  8570 

o 

39 

IO 

00 

30 
40 
50 

9.740  1988 
9.740  2308 
9.740  1618 
9.740  0948 
9.7403167 

310 

3» 
310 

3*9 

IjO 

9-8*8  3557 
9.818  4015 
9.8184473 

9.818493* 
9.8185390 

458 
458 

459 
458 

ACQ 

0.181  6443 
0.181  5985 
0.181  5517 
0.181  5068 
0.181  4610 

9.9118431 
9.911  8193 
9.911  8154 
9.911  8016 
9.911  7877 

137 
I38 

I32 
138 

139 

50 
40 
30 

oo 

10 

22 

o 

9-7403587 

aio 

9.818  5849 

4cft 

0.181  4151 

9.911  7738 

i,g 

o 

38 

IO 
IO 

30 
40 
50 

9.7403907 
9.7404116 

9-74°4546 
9.7404866 
9.7405185 

3*9 
3»o 
310 
3*9 

51O 

9.818  6307 
9.818  6765 
9.818  7114 
9.818  7681 
9.818  8140 

458 

459 
45* 

458 

ACQ 

0.181  3693 
0.181  3235 
0.181  1776 
0.181  1318 
0.181  1860 

9.901  7600 
9.911  7461 
9.911  7311 
9.911  7184 
9.911  7045 

»39 

X32 
138 

*39 

I2Q 

50 
40 
30 

IO 
IO 

23 

o 

9,7405505 

5IO 

9.818  8599 

458 

0.181  1401 

9.911  6906 

I1Q 

o 

37 

10 

20 

30 
40 
50 

9.740  5814 
9.7406144 
9.7406463 
9.7406783 
9.7407101 

3*> 
3*9 
310 

3*9 

1IO 

9.818  9057 

9.8*895*5 
9.8189973 
9.819  oJ3i 
9.819  0890 

458 
458 
459 
458 
458 

0.181  0943 
0.181  0485 
0.181  0017 
0.1  80  9568 
0.1809110 

9.911  6767 
9.911  6619 
9.911  6490 
9.911  6351 

9.9ai  Dill 

138 
139 
139 
139 
I1Q 

50 
40 
30 

IO 
IO 

24 

o 

9.7407411 

11O 

9.819  1348 

458 

0.1  80  8651 

9.91t  6073 

148 

o 

36 

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ao 

3<> 
40 

5<> 

9.740  7741 
9.7408060 
9.740  8170 
9.7408698 
9.7409017 

3*9 
3*9 
3*9 
3*9 

too 

9.819  1806 
9.819  1164 
9.819  1711 
9.819  3180 
9.8193638 

458 

45f 
458 

458 
458 

0.180  8194 
0.180  7730 
0.180  7178 
0.180  6810 
0.180  6361 

9.911  5935 
9.911  5796 
9.911  5657 
9.911  5518 

9.901  5379 

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139 

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139 

50 
40 
30 

IO 
IO 

25 

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9-7409337 

414 

9.8194096 

4S8 

0.180  5904 

9.911  5140 

139 

0 

35 

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ao 
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40 
50 

9.7409656 
9.7409975 
9.741  0194 
9.741  0613 
9.741  093a 

3*9 
3*9 
3*9 
3*9 

9-8*94554 
9.819  5011 
9.8195470 
9.819  <9o8 
9.819  6386 

458 
458 
458 

45f 

4(8 

0.180  5446 
0.1804988 
0.1804530 
0.180  4071 
0.1803614 

9.911  5101 
9.911  4961 
9.911  4813 
9.911  4684 
9.911  4545 

*39 
*39 
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I-JQ 

50 
40 
30 

10 
IO 

26 

o 

9.741  1151 

3*9 

9.8196844 

4S8 

0.1803156 

9.911  4406 

I1O 

o 

34 

IO 
IO 

30 
40 

50 

9-741  1570 
9.741  1888 
9.741  1107 
9.741  1516 
9.741  1845 

3*9 
3*8 
3*9 
3*9 
3*9 

11Q 

9.819  7301 
9.819  7760 
9.819  8118 
9.819  8676 
9.8199134 

458 
458 
458 
458 
4$8 

0.180  1698 
0.180  1040 
0.180  1782 
0.1801314 
0.1800866 

9.911  4167 
9.911  4118 
9.911  3089 
9.911  3850 
9.911  3711 

*39 
*39 
139 
139 

11Q 

50 
40 
30 

IO 
IO 

27 

0 

9.741  3164 

7l8 

9.819  9591 

4.C7 

0.1800408 

9.911  3571 

11Q 

0 

33 

IO 

to 

30 
40 

50 

9.741  3481 
9.741  3801 
9.741  4110 
9.741  4438 
9-741  4757 

3*9 
310 

3*8 
3I2 

110 

9.810  0049 
9.810  0507 
9.8000965 
9.810  1413 
9.810  1880 

458 
458 
458 

45Z 

Ml 

0.1799951 
0.179  9493 
0.1790035 
0.179  «577 
0.179  8100 

9.911  3433 
9.911  3194 

9-9**  3*55 
9.911  3016 
9.911  1876 

139 

»39 
139 

140 

1  50 

50 
40 
30 

oo 

10 

28 

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9-741  5<>7S 

9.810  1338 

it  8 

0.179  7660 

9.911  1737 

I3Q 

o 

32 

IO 

ao 
30 
40 
50 

9  74i  5394 
9-74*  57" 
9.741  6031 
9.741  6349 
9.741  6667 

3*8 
3I2 

3IS 

3*8 

1IQ 

9.800  1796 
9.8103153 
9.8103711 
9.8104169 
9.800  4606 

4*z 
458 

458 

45Z 

4(8 

0,179  7004 
0.179  6747 
0.179  6189 
0.179  5831 
o-*79  5374 

9.911  1598 
9.911  1459 
9.911  1310 
9.911  1180 

9.901  1041 

*39 
139 
140 
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170 

50 
40 
30 

IO 
IO 

29 

o 

9.741  6986 

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9.800  5084 

4.57 

0.1794916 

9.911  1900 

150 

o 

31 

IO 

10 

30 
40 
50 

9  741  7304 
9.741  7611 
9.741  7940 
9.741  8159 
9.741  8577 

3'2 
3*8 

3*9 

3'! 

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9.8105541 
9.810  S999 
9.800  6457 
9.800  6914 
9.8007371 

458 
458 

45Z 

45* 

ACT 

0-1794459 
0.179  4001 

o-*79  3543 
0.179  3°°6 
0.179  *6*8 

9.911  1763 
9.911  1603 
9.911  1484 
9.911  1345 
9.911  1105 

I4O 
I39 
139 
140 

iiq 

50 
40 
30 

10 
10 

30 

0 

9-74*8895 

9.810  7819 

0.1790171 

9.911  1066 

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30 

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Co. 

d. 

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d.c. 

Tang 

Sin 

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1 

56e 


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Coa 

d. 

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t 

30 

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9.741  8895 

318 

9.810  7819 

lift 

0.179  2171 

9.911  1066 

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O 

30 

IO 

10 

30 
40 
50 

9.741  9113 
9.741  9«i 
9.741  9849 
9.741  0167 
9.7410485 

3I! 
3'f 
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31! 
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9.810  8287 
9.810  8744 
9.820  9201 
9.810  9659 
9.811  0116 

457 

45Z 
458 

45Z 

458 

0.179  1715 

0.179  IZ5° 
0.1790799 
0.1700341 
0.178  9884 

9.911  0917 
9.911  0787 
9.921  0648 
9.921  0508 
9.921  0369 

140 
139 
140 
139 

I4O 

50 
40 
30 
20 
10 

31 

o 

9.741  0803 

us 

9.811  0574 

AC.7 

0.178  9426 

9.921  0219 

J-2Q 

O 

29 

10 
10 

30 
40 

5° 

9.741  1  in 
9.741  1439 
9.741  1757 
9.741  1074 
9.741  1391 

3'f 
3i8 

3I2 

31 

•ii 

9.821  1031 
9.811  1488 
9.811  1946 
9.811  1403 
9.821  2860 

45Z 
458 

457 
457 

4X7 

0.178  8969 
0.1788512 
0.178  8054 
0.178  7597 
0.178  7140 

9.911  0090 
9.9109951 
9.910981.1 
9.910  9672 
9.9109531 

139 

140 

139 

140 

I  30 

5° 

40 
30 

10 
IO 

32 

0 

9.741  1710 

»l8 

9.811  3317 

4S8 

0.178  6683 

9.9209393 

I4O 

o 

28 

IO 

20 

30 
40 

5° 

9.741  3018 
9-742  3345 
9.741  3663 
9.741  3980 
9.74*4198 

317 

3" 
317 

3t 

118 

9.821  3775 
9.821  4231 
9.821  4689 
9.821  5146 
9.811  5603 

457 
457 
457 
457 

4.C7 

0.178  6125 
0.178  5768 
0.17*5311 
0.178  4854 
0.1784397 

9.9209153 
9.9109113 
9.9108974 
9.910  8834 
9.910  8695 

140 

'39 
140 

'39 

I4O 

50 
40 
30 

10 
10 

33 

o 

9.7414616 

7i7 

9.821  6060 

4S8 

0.1783940 

9.910  8555 

I4O 

0 

27 

10 
IO 

30 
40 

5° 

9-74*4933 
9.741  5150 
9.741  5568 
9.741  5885 
9.741  6103 

3k] 
318 
3x7 

318 

^17 

9.821  6518 
9.821  6975 
9.821  7432 
9.811  7889 
9.811  8346 

457 
457 
457 
457 

4S7 

0.178  3481 
0.178  3015 
0.178  2568 
0.178  mi 
0.178  1654 

9.9208415 
9.910  8176 
9.920  8136 
9.910  7096 
9.920  7857 

*39 
140 

140 
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I4O 

50 
40 
30 

10 
10 

34 

o 

9.7416510 

117 

9.811  8803 

4.C7 

0.178  1197 

9.920  7717 

I4O 

o 

26 

10 

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3° 
40 

5° 

9.741  6837 

9-74*  7154 
9.741  7471 
9.741  7789 
9.741  8106 

317 

318 
317 

3*7 
317 

9.811  9160 
9.821  9717 
9.821  0174 
9.8210631 
9.811  1088 

457 
457 
457 
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4S7 

0.178  0740 
0.178  0183 
0.177  9816 
0.177  9369 
0.177  8911 

9.910  7577 
9-9*o7438 
9.910  7198 
9.9007158 
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140 
140 
140 
140 

50 

4° 
3° 

10 
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35 

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9.741  8413 

317 

9.822  1545 

457 

0-177  8455 

9.920  6878 

139 

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25 

10 

20 

30 
40 

50 

9.741  8740 
9.741  9057 

9-74*  9374 
9.741  9691 
9.743  0008 

317 
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717 

9.821  looi 
9.811  1459 
9.822  1915 
9.812  3371 
9.822  3829 

457 
456 
457 
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dX7 

0.177  7998 
0.177  nit 
0.177  7083 
0.177  6618 
0.177  6171 

9.9106739 
9.9106599 
9.910  6459 
9.9106319 
9.910  6179 

140 
140 
140 
140 
140 

5° 
40 
30 

10 
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36 

0 

9.743  0315 

117 

9.822  4286 

Atl 

0.177  57*4 

9.910  6039 

140 

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24 

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20 

30 
40 

5° 

9.743  0641 
9-743  0959 
9-743  "7* 
9-743  1593 
9-743  1909 

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9.812  4743 
9.811  5199 
9.811  5656 
9.8226113 
9.822  6570 

456 

457 
457 

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0.177  5157 
0.177  4801 
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0.177  3887 
0.177  3430 

9.9105899 
9.9105760 
9.910  5610 
9.910  5480 
9.910  5340 

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140 
140 
140 

I4O 

50 
40 
30 

20 

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37 

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9.743  1116 

7X7 

9.822  7016 

4.C7 

0.177  1974 

9.9105100 

I4O 

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23 

IO 
10 

30 
40 
50 

9-743  *543 
9.743  1850 

9-743  3176 
9-743  3493 
9-743  3809 

316 

317 
317 

3*6 
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9.822  7483 
9.821  7940 
9.822  8396 
9.822  8853 
9.822  9309 

457 
456 

452 
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0.177  1517 
0.177  1060 
0.177  l6°4 
0.177  1147 
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9.910  5060 
9.910  4910 
9.9104780 
9.9204640 
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140 
140 
140 

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5° 
40 
30 
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9-743  4«6 

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0.177  0134 

9.9204360 

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22 

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20 

30 
40 
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9-743  444* 
9-743  4759 
9-743  5<>75 
9-743  539* 
9-743  5708 

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316 
316 
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9.823  0223 
9.813  0679 
9.823  1136 
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0.176  9777 
0.176  0311 
0.176  8864 
0.176  8408 
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9.920  4220 
9.9204079 
9.910  3939 
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141 
140 

140 
140 
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50 
40 
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9.743  6014 

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9.813  2505 

0.176  7495 

9.9203519 

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21 

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10 

30 
40 

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9-743  6340 
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9-743  ^73 
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9-743  7605 

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9.823  1961 
9.813  3418 
9.823  3874 
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0.176  7038 
0.1766581 
0.176  6116 
0.176  5669 
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9.920  3379 
9.920  3130 
9.9203098 
9.910  1058 
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140 
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50 
40 
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9-743  79" 

9.813  5344 

0.1764756 

9.920  2678 

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315 

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9-743  79*i 

116 

9.823  5144 

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0.176  4756 

9.920  2678 

1  40 

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20 

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10 

30 

40 
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9-743  8554 
9.743  8870 

9-743  9«6 
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317 
316 
316 
316 

9.823  5700 
9.823  6156 
9.823  6613 
9.823  7069 
9.823  7525 

456 

457 
456 
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4W 

0.176  4300 
0.176  3844 
0.176  3387 
0.176  2931 
0.176  2475 

9.9202538 
9.920  1397 
9.920  1257 
9.9201117 
9.920  1976 

140 
140 

MO 

5° 
40 
30 

20 
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41 

0 

9.7439817 

6 

9.823  7981 

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0.176  2019 

9.920  1836 

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19 

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40 
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9-744  0133 
9-744  0449 
9.7440765 
9.744  1081 
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316 
316 
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9-8*3  8438 
9.823  8894 

9-8*3  935° 
9.823  9806 
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456 
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4S7 

0.176  1561 
0.176  1106 
0.1760650 
0.1760194 
0.175  9738 

9.920  1696 
9.9201555 
9.9201415 
9.910  1275 
9.9101134 

141 
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141 
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50 
40 
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491 

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9.7441712 

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9.8240719 

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0.175  9*8i 

9.9200994 

141 

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18 

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20 

30 

40 
50 

9.744  2028 
9-744  *344 
9-744  1659 
9-744  *975 
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3,6 
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9.8241175 
9.824  1631 
9  824  2087 
9.824  2543 
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456 
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4S6 

0.175  8825 
0.175  8369 
0.175  79'3 
0-175  7457 
0.175  7001 

9.9200853 
9.9200713 
9.9200572 
9.9200432 
9.9200291 

140 
141 

140 
141 

Ida 

50 
40 

3° 
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9.9180477 
9.9180335 
9.918  0192 
9.9180049 
9.917  9907 

142 
H3 

'43 
142 

14,3 

5° 
4<> 
30 
20 

IO 

7 

O 

9.748  8698 

9.830  8934 

0.169  1066 

9.917  9764 

14.2 

o 

53 

IO 
20 

3° 

40 
50 

9.748  9009 
9.748  9320 
9.748  9631 
9.748  9941 
9.7490252 

311 

3" 

310 

3" 
no 

98309588 
9.830  9841 
9.831  0294 
9.8310748 

9.831  1201 

453 
453 

454 
453 

0.1690612 
0.1690159 
0.168  9706 
0.1689252 
0,168  9799 

9.917  9622 
9.917  9479 
9-9^7  9336 
9.917  9194- 
9.9179051 

'43 

»43 
142 

H3 

143 

50 
40 
30 

20 

10 

8 

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9.749  0562 

9.831  1654 

o.i  68  8346 

9.917  8908 

14,3 

o 

52 

IO 

20 

30 
40 
50 

9-749  0873 
9.749  1184 

9-749  '494 
9.749  1805 
9.7492115 

3" 
310 

3" 
310 
no 

9.831  2108 
9.831  2561 
9.831  30IA 
9.831  3468 
9.831  3921 

453 
453 
454 
453 

4<1 

o.i  68  7892 
0.168  7439 
o.i  68  6986 
0.168  6532 
0.168  6079 

9.917  8765 
9.917  8623 
9.917  8480 

9-9^7  8337 
9.917  8194 

14* 

'43 
143 
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143 

50 
40 
30 

20 
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9 

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9-749  *4*5 

9-83M374 

4C1 

0.168  5626 

9.917  8051 

142 

O 

51 

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20 

30 
40 

5° 

9-749  *736 
9-749  3<M<> 
9-749  3357 
9-749  3**7 
9-749  3977 

310 
311 
310 
310 

31O 

9.8314827 
9.831  5280 

9-83  *  5734 
9.831  6187 
9.831  6640 

453 
454 
453 
453 

4C3 

o.i  68  5173 
o.i  68  4720 
0.168  4266 
0.168  3813 
0.168  3360 

9.917  7909 
9.917  7766 
9.917  7625 
9.917  7480 
9.917  7337 

'43 
143 
143 
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141 

5° 
40 
30 
20 

10 

10 

0 

9-749  4*87 

9.831  7093 

0.168  2907 

9.917  7194 

o 

50 

> 

If 

Cos 

d. 

Cotg 

d.c. 

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Sin 

d. 

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d. 

Tang 

d.c. 

Cotg 

Cos 

d. 

a 

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10 

0 

9-749  4*87 

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9.831  7093 

4.C7 

0.168  1907 

9.917  7194 

Idl 

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50 

10 

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3° 
40 

5<> 

9-749  4597 
9-749  49°8 
9-749  5«8 
9-749  55*8 
9.749  5838 

3" 

310 
310 
310 

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9.831  7546 
9.831  7999 
9.831  8451 

9-83i89°5 
9.831  9358 

453 
453 
453 
453 

4.C2 

o.i  68  2454 
0.168  2001 
0.168  1548 
0.168  1095 
0.168  0641 

9.917  7051 
9.917  6908 
9.917  6765 
9.917  6611 
9.917  6479 

»43 
143 
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143 
141 

50 
40 
30 
10 

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11 

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9.749  6148- 

110 

9.831  9811 

AC1 

0.1680189 

9.917  6336 

141 

0 

49 

10 

10 

30 
40 
50 

9-749  6458 
9.749  6768 

9-749  7078 
9-749  7388 
9-749  7698 

310 
3IO 
310 
3IO 
1OQ 

9.831  0264 
9.8310717 
9.831  1170 
9.832  1623 
9.832  2076 

453 
453 
453 
453 

Aci 

0.167  9736 
0.167  9183 
0.167  8830 
0.167  8377 
0.167  7914 

9.917  6193 
9.917  6050 
9.917  5907 
9.917  5764 
9.917  5611 

'43 
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141 

50 
40 
30 

20 
10 

12 

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9-749  8007 

7IO 

9.832  2529 

JC7 

0.167  7471 

9.917  5478 

141 

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48 

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10 

30 
40 
50 

9.7498317 
9.749  8617 
9-749  8937 
9-749  9*46 
9-7499556 

310 
31O 
309 
310 

7IO 

9.832  2982 

9-83*  3435 
9.832  3888 
9.831  4341 
9.831  4794 

453 
453 
453 
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411 

0.167  7°*8 
0.167  6565 
0.167  6m 
0.167  5659 
0.167  5*°" 

9-9*7  5335 
9.9175191 
9.917  5049 
9.9174906 
9.9174763 

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50 
40 
30 
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9.749  9866 

1OO 

9.831  5246 

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0.167  4754 

9.917  4619 

141 

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47 

10 
10 

30 
40 

50 

9.7500175 
9.7500485 
9.7500794 
9.750  1104 
9.750  1413 

3IO 
309 
310 
309 
3IO 

9.832  5699 
9.832  6152 
9.8326605 
9.832  7057 
9.8327510 

453 
453 
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453 

4.C4 

0.167  4301 
0.167  3848 
0-1673395 
0.167  *943 
0.167  *49° 

9.917  4476 

9-9'7  4333 
9.917  4190 
9.9174047 
9.917  3903 

143 
143 
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144 
141 

50 
40 
30 

20 
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14 

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9.750  1713 

3OQ 

9.832  7963 

4<1 

0.167  1037 

9.917  3760 

141 

0 

46 

10 
10 

30 
40 
50 

9.750  1031 
9.750  1342 
9.7500651 
9.750  1960 
9.750  3170 

310 
309 
309 
310 
309 

9.831  8416 
9.832  8868 
9.8329311 
9.832  9774 
9.833  0226 

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453 
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0.167  X584 
0.167  JI3* 
0.167  0679 
0.1670116 
0.166  9774 

9.917  3617 
9.917  3473 
9.917  3350 
9.9173187 
9.917  3044 

144 
143 
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50 
40 
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15 

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9-7503579 

309 

9.833  0679 

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0.166  9311 

9.917  1900 

143 

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10 

30 
40 
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9.7503888 
9.7504197 
9-7504506 

9.7504816 
9.7505115 

309 
309 
310 
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7OQ 

9.833  1131 
9.833  1584 
9.833  2036 
9.833  2489 
9.833  2942 

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0.166  8869 
0.166  8416 
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0.1667511 
0.166  7058 

9.917  2757 
9.917  1613 
9.917  1470 
9.917  1327 
9.917  2183 

144 

143 
143 
144 

14-2 

50 
40 
30 

20 

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16 

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9-750  5434 

1OQ 

9-833  3394 

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0.1666606 

9.917  2040 

144 

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44 

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10 

30 

40 

50 

9-750  5743 
9.7506051 
9.7506561 
9.750  6670 
9.7506979 

309 
309 
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to! 

9-833  3847 
9.833  4299 

9-833475I 
9.833  5204 
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0.166  6153 
0.166  5701 
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9.917  1896 

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9.750  7187 

300 

9.833  6109 

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0.166  3891 

9.917  1179 

144 

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9.7507596 
9.7507905 
9.750  8114 
9.750  8513 
9.750  8831 

309 
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9.833  6561 
9.833  7013 
9.833  7466 
9.833  7918 
9.833  8370 

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453 
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0.166  3439 
0.166  1987 
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0.166  1630 

9.917  1035 
9.917  0891 
9.917  0748 
9.9170604 
9.917  0461 

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144 

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50 
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9.833  8823 

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9.7509449 

9-7509757 
9.751  0066 
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308 
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9.833  9275 

9-833  97*7 
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0.1660715 
0.166  0273 
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0.165  9368 
0.165  8916 

9.917  0174 
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9.916  9886 
9.916  9743 
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144 
144 
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9.7510991 

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0.165  8464 

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0.165  8012 
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9.916  8880 

9.916  8736 

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9.7514691 

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9.834  6961 

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0.165  3°39 

9.9167730 

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10 

30 
40 
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9-75  '4999 
9.751  5307 

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9-835  0576 
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40 
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9.751  8385 

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9-835  2384 

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9.751  8693 
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9-835  2835 
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9-757  567' 
9-757  5973 
9-757  6»75 
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301 

301 

301 
301 
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9.843  6574 
9.843  7022 
9.843  7471 
9.843  7920 
9.843  8368 

448 

449 
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0.156  3426 
0.156  2978 
0.156  2529 
0.156  2080 
0.156  1632 

9.913  8796 
9.913  8649 
9.913  8502 

9-9*3  8355 
9.913  8208 

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40 
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9.7576878 

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9.843  8817 

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0.156  1183 

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9.7577180 
9-757  748i 
9-757  7783 
9.757  8084 
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302 
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9.843  9265 
9.843  9714 
9.8440163 
9.8440611 
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0.1560755 
0.1560286 
0.155  9837 
0.1559389 
0.155  8940 

9.913  7914 
9.913  7767 
9.913  7620 

99  '3  7473 
9.913  7326 

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9-757  8687 

9.844  1508 

0.155  8491 

9.913  7179 

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9-7580194 

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9.844  1957 
9.8442405 
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0.155  8043 

0-155  7595 
0.155  7146 
0.155  6698 
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9.913  7012 
9.913  6885 
9.913  6738 
9.913  6591 
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9.7580495 

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9.8444199 

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9.913  6296 

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9.758  1098 

9-758  '399 
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9.8444647 
9.844  5096 
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9.913  6149 
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9-844  7337 
9.844  7786 
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9.913  5266 
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9.913  4382 

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9.845  2268 

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9.758  6214 
9.758  6514 
9.758  6815 
9.7587116 
9.758  7416 

300 
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9.845  2716 

9-845  3164 
9.845  3612 
9.845  4060 
9.845  4508 

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0.1547284 
0.154  6836 
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0.154  5940 
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9.913  3498 
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9.913  3203 
9.913  3055 
9.913  2908 

148 

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148 

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9.758  7717 

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9.845  4956 

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0.1545044 

9.913  2760 

147 

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9.758  8017 

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9.758  8618 

9.758  8918 
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301 

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9.845  5404 
9.845  5852 
9.845  6300 
9.845  6748 
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0.1544148 
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0.154  3252 
0.154  2804 

9.913  2613 
9.913  2465 
9.913  2318 
9.913  2170 
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148 

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148 

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9.845  8092 
9.845  8540 
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9.913  1727 
9.913  1580 
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148 
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9.759  4320 
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300 
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9.846  6152 
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0.153  3848 
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9.9129068 
9.912  8920 
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9.912  6847 
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148 

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9.847  3760 

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9.760  I2OO 
9.760  1508 
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299 
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0.152  1767 
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9.9125514 
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149 
148 
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9.760  3899 

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0.1520873 

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9.7604198 

9.7604497 
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299 
290 
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9  847  9574 

9.848  OO22 
9.848  0469 
9.848  0916 
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0.1520416 
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0.151  9084 
0.151  8637 

9.9124624 
9.9124475 
9.9124327 
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149 
148 
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50 

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299 
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9.848  2704 
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447 
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0.151  7743 
0.151  7296 
0.151  6849 
0.151  6402 
0.151  5955 

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9.9123585 
9.912  3436 
9.9123288 
9.9123139 

148 

149 
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140 
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50 
40 
30 

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9.760  7483 

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9.8484492 

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0.151  5508 

9.912  2991 

140 

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10 

20 
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9.760  7782 
9.760  8080 
9.7608378 
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298 
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9.848  4939 
9.848  5386 
9.848  5813 
9.848  6280 
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0.151  5061 
0.151  4614 
0.151  4167 
0.151  3720 
0.151  3273 

9.912  2842 
9.912  2694 
9.912  2545 
9.912  2397 
9.9122248 

148 
149 
148 
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50 
40 
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9.7609274 

9.848  7174 

0.151  2826 

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148 

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9-7609572 
9.760  9870 
9.761  0168 
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298 
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9.848  7621 
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0-151  »379 
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9.912  1051 
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149 
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149 
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298 
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9.849  3429 
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149 
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9.761  4638 

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149 
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297 
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297 

207 

9.850  3690 
9.8504146 
9.8504592 
9-8505038 
9.8505485 

447 
446 
446 

447 

0.149  6301 
0.149  5854. 
0.149  5408 
0.149  4962 
0.1494515 

9.911  6590 
9.911  6441 
9.911  6291 
9.911  6142 
9.911  5993 

149 
X50 

149 
149 

140 

50 
40 
30 

20 

IO 

'20 

O 

9.762  1775 

9.850  5931 

0.1494069 

9.911  5844 

o 

40 

• 

II 

Cos 

d. 

Cotg 

d.c. 

Tang 

Sin 

d. 

II 

r 

447 
44.7 
89.4 
I34.J 
178.8 

"3-5 

268.2 

7  3'*-9 

8  357.6 

9  4<».3 


446 
44.6 

»9-2 
133.8 

178.4 
233.0 
267.6 
312.2 

8  356.8 

9  4o».4 


298 

39.8 

S9-6 

89.4 

119.2 

149-0 

178.8 

7208.6 

238.4 

9  368.2 


297 
39.7 

59.4 
89.1 
1 1 8.8 
148.5 
178.3 
207.9 

9  267.3 


149 

'4.9 
39.8 
44.7 
59-6 
74.  S 
89.4 


104.3 
119.2 

I34.I 


150 
15.0 
30.0 

45.o 
60.0 

75.° 
90.0 
105.0 

120.0 

'35.o 


54C 


502 


35' 


447 
44.7 
89.4 
I34.I 
178.8 
«3.S 

6  268.2 

7  3«-9 

8  357-6 


446 

44.6 

89.* 

'33-8 

178.4 

223.0 

6267.6 

7  3".* 
8356.8 
9  4°'. 4 


297 
*9-7 
59.4 
89.1 
118.8 
148.5 
178.* 

237.6 


296 
99.6 

59-a 
88.8 
"8.4 
148.0 
'77.6 


236.8 


9266.4 


149 

'4.9 
29.8 
44.7 
59.6 
74.S 


89.4 
104.3 
119.2 
'34. « 


150 


6o.c 


90.0 


» 

a 

Siu 

d. 

Tang 

d.c. 

Cotg 

Cos 

d. 

a 

1 

9,0 

o 

9.761  1775 

2Q7 

9.8505931 

44.6 

0.1494069 

9.911  5844 

o 

40 

10 

20 
30 
40 
SO 

9.761  1072 

9-76*  »|69 
9.762  2666 
9.762  2963 
9.762  3259 

297 
297 
297 
296 

2Q7 

9.8506377 
9.850  6824 
9.850  7270 
9.850  7716 
9.850  8162 

447 
446 
446 
446 

446 

0.149  36*3 
0.149  3»76 
0.149  »73° 

0.149  xz°4 
0*149  l838 

9.911  5694 

9-9"  5545 
9.911  5396 
9.911  5247 
9.911  5097 

149 
149 
149 

150 

id  a 

50 
40 
30 

20 
10 

21 

O 

9.762  3556 

1Q7 

9.850  8608 

Ad? 

0.149  1392 

9.9114948 

0 

39 

10 

10 

30 
40 

5° 

9.762  3853 
9.7624150 
9.7624447 
9.762  4743 
9.762  5040 

297 

297 
296 

297 

1Q7 

9.8509055 
9.850  9501 
9.8509947 
9.8510393 
9.851  0839 

446 
446 
446 
446 

AA(\ 

0.149  0945 
0.1490499 
0.140  0053 
0.148  9607 
0.148  9161 

9.911  4799 
9.911  4649 
9.911  4500 
9.911  4350 
9.9114201 

ISO 
149 
150 
149 

50 
40 
30 
2O 
10 

22 

o 

9.762  $337 

2<l6 

9.851  1285 

44.6 

0.148  8715 

9.911  4051 

I4.Q 

0 

38 

IO 

10 

3° 
40 

5° 

9.762  5633 
9.762  5930 
9.762  6226 
9.762  6523 
9.7626819 

297 
296 
297 
296 
2QT 

9.851  1731 
9.851  2177 
9.851  2623 
9,851  3069 
9.851  3515 

446 

446 
446 

446 
4l6 

0.148  8269 
0.148  7823 
0.148  7377 
0.148  6931 
0.148  6485 

9.911  3902 
9-9"  3753 
9-9"  3603 
9.911  3454 
9.911  3304 

149 
150 
149 
I50 

5° 
40 
30 

20 
10 

23 

0 

9.7627116 

24)6 

9.851  3961 

446 

0.148  6039 

9-9"  3^55 

KO 

O 

37 

IO 
20 
30 
40 

5« 

9.76*  7412 
9.762  7709 
9.762  8005 
9.762  8302 
9.762  8598 

297 
296 
297 
296 

2Q6 

9.8514407 
9.851  4853 
9.851  5299 

9-85I  S745 
9.851  6191 

446 
446 
446 
446 

446 

0-148  5593 
0.148  5147 
0.1484701 
0.148  4255 
0.148  3809 

9.9113005 
9.911  2855 
9.911  2706 
9.911  2556 
9.9112407 

ISO 
149 

I50 

H9 
ISO 

5° 
40 

3° 
20 

IO 

24 

O 

9.762  8894 

2fl6 

9.8si  6637 

116 

0.148  3363 

9.9112257 

Yen 

o 

36 

10 

10 

30 
40 

5° 

9.7629190 
9.762  9487 
9.762  9783 
9.763  0079 
9.763  0375 

197 
296 
296 
296 
296 

9.851  7083 
9.851  7529 

9-f5i  7975 
9.851  8421 
9.851  8866 

446 
446 
446 

446 

0.148  2917 
0.148  2471 
0.148  2025 
0.148  1579 
0.148  1134 

9.911  2107 
9.911  1058 
9.911  1808 
9.911  1658 
9.911  1509 

149 
150 
150 
149 
150 

5° 
40 
30 
20 

10 

25 

0 

9.763  0671 

296 

9.851  9312 

446 

0.1480688 

9.911  1359 

ISO 

o 

35 

IO 

10 

3° 
40 

5° 

9.763  0967 
9.763  1263 
9.763  1559 
9.763  1855 
9.763  2151 

296 
296 
296 
296 

206 

9.851  9758 
9.8520204 
9.852  0650 
9.852  1095 
9.852  1541 

446 
446 

445 
446 

A*f\ 

0.148  0242 
0.147  9796 
0.147  9350 
0.147  8905 
0.147  8459 

9.9111209 
9.911  1059 
9.911  0910 
9.911  0760 
9.911  0610 

150 
149 
150 
150 

5° 
40 

30 

20 
IO 

26 

0 

9.763  2447 

206 

9.852  1987 

0.147  8013 

9.911  0460 

O 

34 

IO 

xo 

30 
40 

5° 

9.763  2743 
9.763  3039 

9-763  3335 
9.763  3631 
9.763  3926 

296 
296 
296 
295 
MB 

9.852  2433 
9.852  2878 
9.852  3324 
9.852  3770 
9.8524215 

445 
446 

446 
445 

AA.fi 

0-147  7567 
0.147  7Ia* 
0.147  6676 
0.147  6230 
0.147  5785 

9.911  0311 
9.911  0161 
9.9110011 
9.9109861 
9.9109711 

150 

ISO 
ISO 
ISO 

no 

5° 

40 
30 

20 
IO 

27 

o 

9.763  4222 

206 

9.8524661 

0-147  5339 

9.9109561 

ICO 

O 

33 

IO 

10 

30 
40 

5° 

9.7634518 
9.763  4814 
9.7635109 
9.763  5405 
9.763  5700 

296 
295 
296 
295 
206 

9.8525107 
9.852  5552 
9.852  5998 
9.852  6443 
9.852  6889 

445 
446 

445 
446 

0.147  4895 
0.1474448 
0.147  4002 
0-147  3557 
0.147  3111 

9.9109411 
9.910  9261 
9.9109:11 
9.910  8961 
9.9108811 

150 
150 
150 
150 

50 
40 
30 

20 
IO 

28 

o 

9.763  5996 

206 

9-85i  7335 

AAC 

0.147  2665 

9.9108661 

ico 

O 

32 

IO 

zo 
30 
40 
5° 

9.763  6292 
9.763  6587 
9.763  6882 
9.763  7178 
9-763  7473 

295 

i 

206 

9.852  7780 
9.852  8226 
9.852  8671 
9.8529117 
9.852  9562 

446 

446 
445 

AA(\ 

0.147  2220 
0.147  1774 
0.147  1129 
0.1470883 
0.147  0438 

9.9108511 
9.9108361 
9.9108211 
9.910  8061 
9.9107911 

150 
150 
150 
150 

ICO 

50 
40 
30 
2O 
IO 

29 

0 

9.763  7769 

20  c 

9.853  0008 

AAC 

0.1469992 

9.9107761 

ICO 

o 

31 

IO 

10 

30 

40 

5° 

9.763  8064 
9.763  8359 
9-763  8655 
9.763  8950 
9.763  9245 

296 
295 
295 

IOC 

9-853  °453 
9.853  0898 

9-853  1344 
9.853  1789 
9.853  2235 

445 

446 

445 
446 

Ait 

0.146  9547 
0.146  9102 
0.146  8656 
0.146  8zn 
0.146  7765 

9.9107611 
9.9107461 
9.9107311 
9.9107161 
9.9107011 

150 
150 
150 
150 

ICI 

50 
40 

3° 
20 
10 

30 

o 

9.763  9540 

9.853  2680 

0.146  7320 

9.910  6860 

o 

30 

• 

n 

Cos 

4. 

Cotg 

<Lc. 

Tang 

Sin 

d. 

II 

i 

54C 


35e 


503 


, 

• 

Sin 

1  d- 

Tang 

i 

d.  c 

Cotg 

Cos 

d. 

a 

1 

80 

o 

9.763  9540 

2O6 

9.853  2680 

44  c 

0.146  7320 

9.910  6860 

I  en 

o 

30 

IO 
20 
30 
40 
50 

9.763  9836 
9.7640131 
9.7640426 
9.7640721 
9.764  1016 

*95 
295 
095 

*95 
20  < 

9«533'>5 
9-853  357i 
9.853  4016 
9.853  4461 
9.853  4907 

446 

445 
445 
446 

AjtC 

0.146  6875 
0.146  6429 
0.146  5984 
0.146  5539 
0.146  5093 

9.9106710 
9.9106560 
9.910  6410 
9.910  6259 
9.91061015 

150 

150 

»5' 

150 

JCQ 

50 
40 
30 

20 
10 

31 

O 

9.7641311 

2Q£ 

9-8535351 

44.1 

0.1464648 

9.9105959 

ICO 

0 

29 

10 

20 

30 
40 

50 

9.764  1606 
9.764  1901 
9.764  2196 
9.764  2491 
9.764  2786 

*95 
195 
295 
295 

1CM 

9-853  5797 
9.853  6243 
9.853  6688 
9-8537i33 
9-853  7578 

446 

445 
445 
445 

0.146  4203 
0-146  3757 
0.146  3312 
0.146  2867 
0.146  2422 

9.9105800 
9.910  5658 
9.910  5508 
9.9105358 
9.910  5207 

151 
150 
150 

151 

ICQ 

50 
40 
30 
20 

to 

32 

0 

9.764  3080 

2O  ( 

9.853  8023 

446 

0.146  1977 

9.910  5057 

ico 

O 

28 

10 

20 

30 
40 

5° 

9-764  3375 
9.764  3670 
9.764  3965 
9.764  4259 
9.7644554 

295 
295 
294 

»95 

2Q* 

9.853  8469 
9.853  8914 
9-853  9359 
9-853  9804 
9.854  0249 

445 
445 
445 
445 

44  C. 

0.146  1531 
0.146  1086 
0.146  0641 
0.146  0196 
0.145  9751 

9.910  4907 
9.9104756 
9.910  4606 
9.910  4455 
9.910  4305 

»si 

150 

'51 
150 

ISO 

5° 
40 

30 

20 
10 

33 

o 

9.7644849 

104. 

9.854  0694 

0.145  9306 

9.9104155 

ICI 

O 

27 

IO 

20 

30 

40 

5° 

9.764  5143 
9.764  5438 

9-764  5733 
9.764  6027 
9.764  6322 

295 

*95 
194 

»95 

204 

9.8541139 
9.854  1584 
9.854  2029 
9.854  2475 
9.854  2920 

445 
445 
446 

445 

Aft 

0.145  8861 
0.145  8416 
0.145  797* 
°-J45  75*5 
0,145  7°8o 

9.9104004 
9.910  3854 
9.910  3703 
9.9103553 
9.9103402 

150 

»5» 

ISO 

151 
ICI 

50 

40 
30 
10 
10 

34 

o 

9.7646616 

2O4 

9-854  3365 

A/it 

0.145  6635 

9.9103251 

ICQ 

o 

26 

IO 
20 

3° 

40 
50 

9.764  6910 
9.764  7205 
9.764  7499 

9-764  7794 
9.764  8088 

*95 
294 

*95 

294 

2  94 

9.8543810 

9-8544a55 
9.8544700 

9-854  5H5 

9.8545589 

445 
445 
445 
444 
445 

0.145  6190 

0-145  5745 
0.145  5300 
0.145  4855 
0.1454411 

9.9103101 
9.910  2950 

9.9IO  20OO 
9.910  2649 
9.910  2498 

»5* 

150 

»5' 
»5» 
150 

50 
40 

3° 
20 

10 

35 

o 

9.764  8382 

295 

9.854  6034 

44S 

0.1453966 

9.910  2348 

151 

0 

25 

10 

20 

3° 

40 

5° 

9.764  8677 
9.764  8971 
9.764  9265 

9-764  9559 
9.7649853 

094 
294 
294 
294 

104 

9.854  6479 
9.854  6924 
9-854  7369 
9.854  7814 
9.854  8259 

445 
445 
445 
445 

0.145  3521 
0.145  3076 
0.145  2631 
0.145  "86 
0.145  I74i 

9.9I02I97 
9.910  2047 
9.910  1896 
9.910  1745 
9.910  1594 

150 
IS' 
151 

15* 

ICO 

5° 
40 

3° 

20 
10 

36 

o 

9.765  0147 

204 

9.854  8704 

0.145  Ia96 

9.910  1444 

TCI 

O 

24 

IO 

20 

3° 
40 

50 

9.765  0441 
9.765  0735 
9.765  1030 
9.765  1324 
9.765  1617 

»94 
*95 
294 
293 

244 

9.8549149 

9-854  9593 
9.855  0038 
9.855  0483 
9.855  0928 

444 
445 
445 
445 

0.1450851 
0.145  0407 
0.1449962 
0.144  95*7 
0.1449072 

9.910  1293 
9.910  1142 
9.9100991 
9.9100841 
9.9100690 

15' 

'51 

150 

IS* 

HI 

5° 
40 
30 

20 
10 

37 

o 

9.765  1911 

2Q4 

9.855  1372 

AAC 

0.144  8628 

9.9100539 

ICI 

O 

23 

IO 
20 

3« 
40 

5° 

9.765  2205 
9.765  2499 
9.765  2793 
9.765  3087 
9-765  338i 

294 
294 
294 
294 
201 

9.8551817 
9.855  2262 
9.855  2707 
9.8553151 
9.855  3596 

445 
445 
444 
445 

AAt 

0.1448183 
0.144  7738 
0.1447293 
0.144  6849 
0.1446404 

9.9100388 
9.9100237 
9.9IOOO86 

9-9099935 
9.909  9785 

'5' 
'Si 
'5' 
150 

HI 

5° 
40 
30 

20 
10 

38 

o 

9.765  3674 

104 

9.855  4041 

o-i44  5959 

9.909  9634 

O 

22 

IO 

20 

3° 

40 

50 

9.765  3968 
9.765  4262 

9-765  4555 
9.765  4849 

9  765  5  '43 

294 
293 
294 
294 
207 

9.855  4485 
9.855  4930 
9-855  5375 
9-855  5819 
9.855  6264 

445 
445 
444 
445 

AAA 

0.144  55»5 
0.144  5070 
0.144  4625 
0.1444181 
0.1443736 

9.909  9483 
9.909  9332 
9.9099181 
9.909  0030 
9.909  8879 

'5' 
»5' 
'5' 
'51 

1^1 

5° 
40 
30 
2O 
10 

39 

o 

9.765  5436 

2Q4 

9.855  6708 

0.144  3*9* 

9.009  8728 

T^  I 

o 

21 

IO 
20 
3«> 
40 

5° 

9.765  5730 
9.765  6023 
9.7656317 
9.765  6610 
9.765  6904 

293 
294 
293 
294 
2Q7 

9-8557I53 
9-855  7597 
9.855  8042 
9.855  8487 
9.8558931 

444 
445 
445 
444 

0.144  *847 
a  144  2403 
0.144  1958 
0.1441513 
0.144  '069 

9-909  8577 
9.909  8426 
9.909  8275 
9.9098124 

9  909  7973 

'5i 

15' 
'5' 
'5' 

I  Q2 

50 
40 
30 

20 

10 

40 

o 

9.7657197 

9  855  9376 

0.1440624 

9.909  7821 

0 

20 

• 

• 

Cos 

d. 

Cotg 

d.  c. 

Tang 

Sin 

d. 

II 

i 

445 

44.S 

89.0 

U3.S 

178.0 

aaa.5 

6  267.0 

.  3".S 

8  356.0 

9  400.S 


444 

«     44.4 
a    88.8 

3  «33.a 

4  '77.6 

5  aaa.o 
6a66.4 

7  310.8 

8  355  a 

9  399-6 


295 

*9-S 
S9.o 
88.5 

118.0 

'47.5 
'77.0 
ao6.s 
236.0 
i  a6s.S 


294 
39.4 
58.8 
88.1 

117.6 

«47.o 

176.4 

aos.8 

!  335.2 

9  264.6 


293 

»9-3 
58.6 

87.9 

"7.2 

146.5 
I7S.8 
205.1 
*34.4 
91*63.7 


151 
*s.i 


45.3 
6o.4 
75.5 
90.6 
105.7 

120.8 

135.9 


54* 


504 


35C 


445 

I    44.S 
a    89.0 

3  I33.S 

4  178.0 

5  223.5 

6  367.0 

73«.S 

8  356.0 

9  400.5 


444 

1  44.4 

2  88.B 

3  X33.a 

4  177.6 

5  322.0 

6266.4 

7  3'°.' 

8  355.* 
9399-6 


294 
»9-4 
58.8 
88.2 
1x7.6 
147.° 
176.4 
305.8 


335-' 


9  364.6 


"9-3 

58.6 

87.9 

1 17- a 

146.5 

175.8 

7205.1 

i  »34  4 


292 

ao.« 
58.4 
87.6 
116.8 
146.0 
175.2 
7  304.4 


»33.6 


9  262.8 


151 


30.2 
45-3 
60.4 
75.5 
90.6 
105.7 

120.8 

'35-9 


1 

ii 

Sin 

d. 

Tang 

d.c. 

Cotg 

Cos 

d. 

n 

1 

40 

O 

9.765  7197 

291 

9.855  9376 

Add 

0.1440624 

9.909  7821 

0 

20 

10 

20 

30 
40 

5° 

9.765  7490 
9.765  7784 
9.765  8077 
9.765  8370 
9.765  8663 

294 

293 

*93 
293 
294 

9.855  9820 
9.856  0264 
9.856  0709 
9.856  1153 
9.856  1598 

444 
445 
444 
445 
444 

0.1440180 
0-143  9736 
0.143  9*9! 
0.143  8847 
0.143  8402 

9.909  7670 
9.9097519 
9.909  7368 
9.9097217 
9.909  7066 

151 
151 
'Si 
»5' 

50 
40 
30 
20 

IO 

41 

0 

9.765  8957 

291 

9.856  2042 

44  5 

0.143  795« 

9.909  6915 

o 

19 

IO 

20 

30 
40 

50 

9.765  9250 

9-765  9543 
9.765  9836 
9.7660129 
9.766  0422 

293 

=93 
293 

»93 
241 

9.856  2487 
9.8562931 

9-8563375 
9.856  3820 
9.856  4264 

444 
444 
445 
444 
111 

O.H375I3 
0.143  7069 
0.143  6625 
0.143  6'8o 
0.143  5736 

9.909  6763 
9.9096612 
9.909  6461 
9.9096310 
9.9096158 

15' 
151 
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152 

50 

40 
30 
so 

10 

42 

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9.766  0715 

2Q1 

9.856  4708 

445 

0.143  5^9» 

9.9096007 

ICl 

o 

18 

IO 

20 

3° 
40 

50 

9.766  1008 
9.766  1301 
9.766  1554 
9.766  1887 
9.766  2180 

293 
293 

*93 
293 

2Qt 

9.8565153 
9.856  5597 
9.856  6041 
9.856  6485 
9.856  6930 

444 
444 
444 
445 

d-14 

0.143  4847 
0-143  4403 
0-143  3959 
o-i43  3515 
0.143  3070 

9.909  5856 
9.909  5704 

9-909  5553 
9.909  5402 
9.909  5250 

151 
IS' 
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'5* 

50 
40 

30 

20 
10 

43 

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9.766  1473 

2Q  1 

9.856  7374 

444 

0.143  *6i6 

9.909  5099 

I?I 

O 

17 

IO 

20 

30 
40 

5° 

9.766  2766 
9.766  3058 
9-7663351 
9.766  3644 
9.766  3937 

292 

*93 
293 
293 

202 

9.8567818 
9.856  8262 
9.856  8707 
9.8569151 
9-856  9595 

444 
445 
444 
444 
444 

0.143  "82 
0.143  1738 
0.143  "93 
0.143  0849 
0.1430405 

9.909  4948 
9.9094796 
9.9094645 
9.909  4493 
9.909  4342 

152 

»5' 
152 

151 

HI 

50 

40 

30 
20 
10 

44 

0 

9.766  4229 

2Q1 

9.857  0039 

444 

0.1429961 

9.9094190 

i^i 

O 

16 

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20 

3° 
40 

5° 

9.766  4522 
9.7664815 
9.766  5107 
9.766  5400 
9.766  5692 

293 
29J 
293 
292 
293 

9.857  0483 
9.8570927 
9.8571371 
9.857  1815 
9.857  2260 

444 
444 
444 
445 
444 

0.1429517 
0.142  9073 
0.142  8629 
0.1428185 

0.1427740 

9.9094039 
9.909  3887 
9.909  3736 
9.9093584 
9.9093433 

152 
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15* 
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152 

50 
40 

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10 

45 

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9.766  5985 

292 

9.857  2704 

444 

0.142  7296 

9.9093281 

15* 

0 

15 

10 

20 

3° 
40 

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9.766  6277 
9.766  6570 
9.766  686.2 
9.766  7154 
9.766  7447 

293 
292 
292 
293 

9.8573148 

9-857  359i 
9.857  4036 
9.857  4480 
9.857  4924 

444 
444 
444 
444 

AAA 

0.142  6851 
0.142  6408 
0.142  5964 
0.142  5520 
0.142  5076 

9.9093130 
9.909  2078 
9.909  2826 
9.909  2675 
9.909  2523 

15* 
15* 
151 
152 
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50 

40 

30 

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46 

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9.766  7739 

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_9_-857  5368 

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0.1424632 

9.909  2371 

151 

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14 

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3° 
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50 

9.766  803  r 
9.766  8324 
9.766  8616 
9.766  8908 
9.766  9200 

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291 
292 
292 
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9.8575812 
9.857  6256 
9.857  6699 
9-8577M3 
9.857  7587 

444 
443 
444 
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0.1424188 
0.142  3744 
0.141  3301 
0.142  2857 
0.142  2413 

9.909  222O 
9.909  2068 
9.909  1916 
9.909  1765 
9.9091613 

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152 

50 

40 
30 

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9.766  9492 

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9.857  8031 

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0.142  1969 

9.909  1461 

152 

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13 

10 

20 

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9.766  9784 
9.767  0076 
9.7670368 
9.767  0661 
9.7670952 

292 
292 
293 
291 

202 

9.857  8475 
9.857  8919 
9.857  9363 
9.857  9807 
9.8580250 

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0.142  1525 
0.142  1  08  1 
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9.909  1309 
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9.909  0854 
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152 
152 
152 
152 

50 
40 
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9.767  1244 

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0.141  9306 

9.909  0550 

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9.767  1536 
9.767  1828 

9.767  X120 
9.7672411 
9.767  2704 

292 
292 
292 
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9.858  1138 
9.858  1582 
9.858  2015 
9.858  2469 
9.858  2913 

444 
443 
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0.141  8862 
0.141  8418 
0.1417975 
0.141  7531 
0.141  7087 

9.909  0398 
9.909  0247 
9.909  0095 

9.908  9943 
9.908  9791 

151 
152 
152 
152 

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50 
40 
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49 

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9.767  2996 

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9-8583357 

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0.141  6643 

9.908  9639 

151 

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10 
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9.767  3287 

9-767  3579 
9.7673871 
9.7674162 
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292 
292 
291 
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9.858  3800 
9.8584244 
9.858  4688 
9.8585131 
9-8585575 

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0.141  6200 
0.141  5756 
0.141  5312 
0.141  4869 
0.141  4425 

9.908  9487 
9.908  9335 
9.908  9183 
9.9080031 
9.908  8879 

152 
152 

152 
151 

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50 

40 
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50 

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9.767  4746 

9.858  6019 

0.141  3981 

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0.141  3981 

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10 

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30 
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9.767  5037 
9.767  5329 
9.767  5620 
9.767  5912 

9.767  6203 

292 
291 
292 
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9.858  6462 
9.858  6906 
9.858  7349 
9.858  7793 
9.858  8237 

444 
443 
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0.141  3538 
0.141  3094 
0.141  2651 
0.141  2207 
0.141  1763 

9.908  8575 
9.908  8423 
9.908  8271 
9.9088119 
9.908  7967 

15* 
152 
152 
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50 
40 
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9.767  6494 

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9.858  8680 

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0.141  1320 

9.9087814 

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9.7676786 
9.767  7077 
9.767  7369 
9.767  7660 
9.767  7951 

091 
292 
291 
191 

2QI 

9.8589124 
9.8589567 
9.8590011 
9.859  0454 
9.859  0898 

443 
444 
443 
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A/It 

0.141  0876 
0.141  0433 
0.140  9989 
0.140  9546 
0.1409102 

9.908  7662 
9.908  7510 
9.908  7358 
9.908  7206 
9.908  7054 

15* 
152 
152 
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50 
40 

30 
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52 

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9.767  8242 

202 

9.859  1341 

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0.140  8659 

9.908  6901 

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0 

8 

10 
20 
30 
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9.767  8534 
9.767  8825 
9.7679116 
9.767  9407 
9.767  9698 

291 
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291 
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9.859  1784 
9.859  2228 
9.859  2671 
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443 
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0.140  8216 
0.140  7772 
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9.908  6749 
9.908  6597 
9.908  6445 
9.908  6292 
9.908  6140 

152 
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153 
152 
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9.767  9989 

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0.140  5998 

9.908  5988 

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20 
30 

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9.768  0280 
9-7680571 
9.768  0862 
9.768  1153 
9.768  1444 

291 
291 
291 
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9.859  4445 
9.859  4888 
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9-859  5775 
9.859  6218 

443 
444 
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0.1405555 
0.1405112 
0.1404668 
0.140  4225 
0.140  3782 

9.908  5855 
9.908  5683 
9-9o8  5531 
9.908  5378 
9.908  5226 

15* 
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153 
152 

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50 
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0.140  3339 

9.908  5073 

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10 
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9.768  2026 
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9.768  2607 
9.768  2858 
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491 
290 
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9.859  7105 
9.859  7548 
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9.859  8434 
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443 
443 
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0.140  2895 
0.140  1452 
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0.140  1566 
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9.908  4921 
9.908  4769 
9.908  4616 
9.9084464 
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153 
152 

153 

152 

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9.768  3480 

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9.859  9321 

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0.140  0679 

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153 

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9.768  3770 
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191 
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9.9084006 
9.908  3854 
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9.768  5514 
9.768  5804 
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290 
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290 
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9.860  2423 
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0.139  7577 
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9.908  3091 
9.908  2938 
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153 
153 
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9.768  7256 
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290 
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290 
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0.1394919 
0.139  4476 
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9.860  7739 
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9.908  1258 
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9.9080800 
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153 
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153 
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9.769  0737 
9.769  1027 
9.769  1117 
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190 
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9.861  0396 
9.861  0819 
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0.138  9604 

0.138  9161 
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9.908  0341 
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9.907  9882 
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153 
153 
153 
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9.769  2187 

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9.769  2477 
9.769  2766 
9.769  3056 
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289 
290 

200 
189 
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9.861  3053 
9.861  3496 
9.861  3919 
9.861  4381 
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443 
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0.1386947 
0.138  6504 
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9.907  9423 
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9.907  0117 
9.907  8064 
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9.861  5709 
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0.138  3848 
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9.769  5952 
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289 
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9.861  8365 
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0.138  1635 
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9.907  7280 
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40 
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9.861  0578 

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9.769  7688 
9.769  7977 
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289 
289 
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9.862  1463 
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0.137  8979 
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9.907  6667 
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50 
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9.769  9134 

280 

9.862  3233 

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0.137  6767 

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9.769  9423 
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9.770  0290 
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289 
289 
289 
289 
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9.862  3675 
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189 
289 
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9.862  6330 
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9.907  4827 

9-907  4673 
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50 
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189 
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288 
283 
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9.781  7958 

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0.1176373 

9.9004331 

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9  781  8134 
9.781  8510 
9.781  8786 
9.781  9061 
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9.9004171 
9.900  4010 
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9.900  3680 
9.9003518 

161 
161 
160 
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9.7819614 

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9.882  6246 

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0.1173754 

9.900  3367 

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9.7819889 
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9.9003107 
9.900  3046 
9.900  1885 
9.900  1714 
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9.783  1168 

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9-783  3473 
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9-883  1357 
9.883  1794 
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9.883  4976 
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0.1164151 
0.1163715 

9.9000311 
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9.899  9818 
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9-899  3050 
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9.895  6745 
9.895  6580 

166 

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tS 

50 
40 
30 

20 

10 

9 

o 

9.7907933 

x68 

9-895  »  5*9 

4)1 

0.104  8481 

9.895  6414 

165 

o 

51 

TO 

10 
30 
40 

5° 

9.790  8xoi 
9.790  8469 
9.7908737 
9.7909005 
9.7909173 

068 

a68 

168 
268 
268 

9.895  1952 

9.895  *3»6 
9.895  2819 

9-895  3*53 
9.895  3686 

434 
433 
434 
433 

41) 

0.104  8048 
0.104  7614 
0.104  7181 
0.104  6747 
0.1046314 

9.895  6249 
9.895  6084 
9.895  5918 

9-895  5753 
9.895  5587 

s 

165. 

166 

165 

5° 

40 
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20 

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10 

o 

9.7909541 

9.8954119 

0.104  5881 

9.895  5421 

0 

50 

t 

a 

Cos 

d. 

Cotg 

d.C. 

Tang 

Sin 

A 

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i 

51C 


38C 


519 


1 

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d.  c. 

Cotg 

Cos 

d. 

n 

1 

10 

o 

9.7909541 

168 

9.8954119 

434 

0.104  5881 

9.895  5422 

iff 

o 

so 

10 
ao 

3° 
40 

5<> 

9.7909809 
9.791  0077 
9.791  0345 
9.791  0612 
9.791  0880 

268 
168 
167 
168 
168 

9-895  4553 
9.895  4986 
9.895  5419 
9.895  5853 
9.895  6186 

433 
433 
434 
433 

433 

0.104  5447 
0.104  5014 
0.1044581 

o-«H  4H7 
0.1043714 

9.895  5256 
9.895  5091 
9.895  4925 
9.895  4760 
9-895  4594 

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i6s 

5° 
40 

3° 

20 
IO 

11 

o 

9.791  1148 

268 

9.895  6719 

434 

0.104  3281 

9.895  4419 

166 

O 

49 

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40 
50 

9.791  1416 
9.791  1683 
9.791  195  » 

9.791  221  Q 
9.791  1486 

III 

168 

167 
268 

9.895  7155 
9.895  7586 
9.895  8019 

9-895  8453 
9.895  8886 

433 
433 
434 
433 

477 

0.104  2847 
0.104  HI4 
0.104  '981 
0.104  »547 
0.104  II!4 

9.895  4263 
9.895  4097 

9-895  393» 
9.895  3766 
9-8.95  3600 

166 
165 
166 
166 
i6c 

50 
40 
30 

20 

10 

12 

O 

9.791  1754 

167 

9.895  9319 

433 

0.1040681 

9  895  3435 

166 

o 

48 

IO 

20 

30 

4° 
5° 

9.791  3011 
9.791  3180 
9.791  3556 
9.791  3804 
9.791  4091 

168 
167 
168 
167 
268 

9.895  9752 
9.8960186 
9.896  0619 
9.896  1052 
9.896  1485 

434 
433 
433 
433 

433 

0.104  °H8 
0.103  9814 
0.103  0381 
0.103  8948 
0.103  8515 

9-895  3*69 
9.895  3101 
9.895  2938 
9.895  2771 
9.895  2606 

166 

3 

166 
166 

50 
40 
30 

IO 
10 

13 

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9-79»  4359 

167 

9.896  1918 

434 

0.103  8082 

9.895  2440 

166 

o 

47 

10 

20 

30 
40 
50 

9.791  4616 
9.791  4803 
9.791  5161 
9.791  5418 
9.791  5695 

*67 

268 

*67 
*67 
168 

9.896  2352 
9.896  1785 
9.896  3118 
9.896  3651 
9.896  4084 

433 
433 
433 
433 

All 

0.103  7^8 
0.103  7215 
0.103  6782 
0.103  6349 
0.103  59*6 

9.895  2274 
9.895  1109 
9.895  1943 
9.895  1777 
9.895  1611 

a 

166 
166 

166 

50 
40 

30 

20 
IO 

14 

o 

9-791  5963 

167 

9.8964517 

4«4. 

0.103  5483 

9.895  1445 

iff 

O 

46 

10 

ao 

3° 
40 

5° 

9.791  6230 
9.791  6497 
9.791  6764 
9.791  7031 
9.791  7198 

167 
167 
167 

*67 

rfl 

9.896  4951 
9.8965384 
9.8965817 
9.896  6150 
9.896  6683 

433 
433 
433 
433 
433 

0.103  5040 
0.103  4616 
0.103  4183 
0.103  3750 

0.103  3317 

9.895  1279 

9-895  ««3 
9.895  0947 
9.895  0782 
9.895  0016 

166 
166 

166 

166 

5° 

40 
30 

20 

10 

15 

o 

9.791  7566 

167 

9.8967116 

433 

0.103  2884 

9.895  0450 

166 

o 

45 

10 

1C 

30 
40 
50 

9-791  7«33 
9.791  8100 
9.791  8367 
9.791  8634 
9.791  8901 

267 

a67 
267 
267 

167 

9.896  7549 
9.896  7982 
9.896  8415 
9.896  8848 
9.896  9281 

433 
433 
433 

433 
AI« 

0.103  ^45* 
0.103  2018 
0.103  1585 
0.103  1151 
0.103  0719 

9.895  028A 

9.895  oi  18 
9«894  995* 
9.89497*6 
9.8949619 

166 
166 

1  66 

166 

50 
40 

3° 
20 

10 

16 

o 

9.791  9168 

167 

9.8969714 

4H 

0.103  0286 

9-8949453 

1  66 

o 

44 

IO 
20 

30 
40 
50 

9-791  9435 
9.791  9701 
9.791  9968 
9.7910235 
9.7910501 

266 
167 
*67 
267 
267 

9.897  0147 
9.897  0580 
9.897  ioi| 
9.897  1446 
9.897  1879 

433 
433 
433 
433 

433 

0.102  9853 
O.IO2  9420 
O.I02  8987 
0.102  8554 
O.IO28llI 

9.8949287 

9.894  QI2I 

9.894  8955 
9.8948789 
9.894  8623 

166 
166 

166 
166 

1  66 

50 
40 

30 

20 

10 

17 

o 

9.791  0769 

166 

9.897  2312 

433 

0.102  7688 

9.894  8457 

767 

o 

43 

IO 
20 

30 
40 
50 

9-79*  »°35 
9.791  1301 

9-79*  1569 
9.792  1836 
9.791  aioa 

167 
»67 

167 
266 
167 

9.897  1745 
9.897  3178 
9.8973611 
9.8974044 
9-897  4477 

433 
433 
433 
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All 

O.I02  7255 
O.IO2  6811 

0.101  6380 
0.101  5956 
0.101  5523 

9.894  8290 

9.894  8114 

9-8947958 
9.894  7792 
9.894  7625 

166 
166 

166 
167 

166 

50 
40 

3° 

20 
10 

18 

o 

9-79*  *3*9 

166 

9.897  4910 

All 

0.101  5090 

9-894  7459 

166 

o 

42 

10 

to 

30 
40 

50 

9.791  1635 
9.791  4901 
9.791  3168 

9-79*  3435 
9.791  3701 

267 
166 
167 
266 
167 

9.897  5341 

9-8975775 
9.897  6108 
9.897  6641 
9.897  7074 

433 
433 
433 
433 

All 

a  101465  8 

0.102  4225 
0.102  3792 

0.102  3359 
0.101  2926 

9.8947293 
9.8947127 
9.8946960 
9.894  6794 
9.894  6618 

1  66 
167 
166 
166 
167 

50 
40 
30 

20 
IO 

W 

o 

9.791  3968 

166 

9.897  7507 

All 

0.101  1493 

9.894  6461 

166 

o 

41 

xo 

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3° 
40 

5° 

9.7914134 
9.7914501 
9.7914767 
9-79*  5034 
9.791  5300 

267 
266 
267 
266 

166 

9.897  7940 
9.897  8371 
9.897  8805 
9.897  9138 
9.897  9671 

432 

433 

433 
433 

O.IO2  2C6O 
O.IO2  1628 
O.IO2  1195 
0.1020762 
O.IO2O319 

9.894  6195 
9.894  6118 
9.894  5962 
9.894  5796 
9.894  5619 

166 

1  66 
167 
166 

So 

40 
30 

IO 
10 

20 

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9.791  5566 

9.898  0104 

o.xoi  9896 

9.894  5463 

o 

40 

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d. 

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d. 

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6  259.8 

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:  213.6 

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106.4 
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212.8 

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9-79*  55W 

166 

9.898  0104. 

432 

0.101  9896 

9.894  5463 

167 

o 

40 

10 

20 

3° 
40 

5° 

9.792  5832 
9.792  6099 
9.7926365 
9.7926631 
9.791  6897 

267 
266 
266 
266 
266 

9.898  0536 
9.898  0969 
9.898  1402 
9.898  1835 
9.898  2267 

433 
433 
433 
43* 

473 

o.ioi  9464 
0.101  9031 
o.ioi  8598 
o.ioi  8165 
o.ioi  7733 

9.894  5296 
9.8945130 
9.894  4963 

9-8944797 
9.8944630 

166 
167 
166 
167 

l67 

50 

40 

30 

20 

10 

21 

o 

9.792  7163 

266 

9.898  2700 

d33 

o.ioi  7300 

9.8944463 

166 

o 

39 

IO 

20 
3° 
4° 
5° 

9.792  7A29 
9.792  7696 
9.79*  7962 
9.792  8218 
9.792  8494 

267 
266 
266 
266 
266 

9.8983133 
9.898  3565 
9-898  3998 
98984431 
9.8984863 

43* 
433 
433 
43* 
an 

o.ioi  6867 
0.101  6435 
o.ioi  6002 
0.101  5569 
o.ioi  5137 

9.894  4297 
9.8944150 
9.894  3964 

9-894  3797 
9.894  3630 

167 
1  66 
167 
167 
1  66 

50 
40 

30 

20 
IO 

22 

o 

9.792  8760 

266 

9.898  5296 

AH 

o.ioi  4704 

9.894  3464 

167 

O 

38 

IO 

20 

30 
40 

5° 

9.792  9026 
9.792  9292 

9-79*  9557 
9.792  9823 

9-793  »89 

266 

a66 
266 
266 

9.898  5729 

9.898  6161 
9.898  6594 
9.898  7027 
9.898  7459 

43* 
433 
433 
43* 

AH 

0.101  4271 
o.ioi  3839 
o.ioi  3406 
0.101  2973 
0.101  2541 

9-894  3*97 
9.894  3150 
9.894  2963 
9.894  2797 
9.894  2630 

167 
167 
166 
167 

IDT 

5° 

40 

3° 

20 
ro 

23 

o 

9-793  °355 

266 

9.898  7892 

A12 

O.IOI  2108 

9.894  2463 

l67 

o 

37 

10 
20 

30 
40 

5° 

9.793  0621 
9-793  0887 
9-793  "5* 
9-793  1418 
9.793  1684 

266 
265 
266 
266 
2b< 

9.898  8324 
98988757 
9.898  9190 
9.898  9622 
9.899  0055 

433 
433 
43* 
433 

472 

o.ioi  1676 
o.ioi  1243 
o  101  0810 
o.ioi  0378 

0.1009945 

9.894  2296 
9.894  2130 
9.894  1963 
9.894  1796 
9.894  1629 

166 
167 
167 
167 
167 

5° 
40 
30 
20 

10 

24 

o 

9  793  »949 

266 

9.899  0487 

0.1009513 

9.894  1462 

J 

IDT 

o 

36 

10 
20 
30 

40 

50 

9-793  *«5 
9-793  *48i 
9-793  *74$ 
9-793  30" 
9-793  3*77 

266 
265 
266 
265 

266 

9.899  0920 

9-899  135* 

9.899  1785 
9.899  2217 
9.899  2650 

43* 
433 
43* 
433 
432 

o.ioo  9080 
o.ioo  8648 
0.1008215 
o.ioo  7783 
0.1007350 

9.894  1295 
9.894  1128 
9.8940961 
9.894  0795 
9.894  0628 

I07 

167 

167 

1  66 
167 
167 

5° 
40 
30 

20 
IO 

25 

o 

9  793  3543 

265 

9.899  3082 

433 

0.1006918 

9.894  0461 

167 

O 

35 

IO 
IO 

3° 
40 

5° 

9-793  3«°8 
9-793  4°74 
9-793  4339 
9-793  4605 
9-793  487° 

266 
265 
266 
265 
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9.8993515 
9.899  3947 
9.899  4380 
9.8994812 
9.899  5244 

43* 
433 
432 

43* 

A17 

o.ioo  6485 
0.1006053 
o.ioo  5620 
0.1005188 
0.1004756 

9.894  0294 
9.8940127 
9-893  9960 
9-893  9793 
9.893  9626 

167 

'?7 
167 

167 
168 

50 
40 

3° 
20 

IO 

26 

o 

9-7935I35 

266 

9.899  5677 

0.1004323 

9.893  9458 

167 

0 

34 

IO 
20 

3° 

40 
50 

9-793  5401 
9-793  5W6 
9-793  593  * 
9-793  0*96 
9.793  6462 

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265 

265 
266 

l6r 

9.899  6109 

9-899  654* 
9.899  697^ 
9.899  7406 
9-899  7839 

433 
43* 
43* 
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A.11 

0.1003891 
0.1003458 
o.  too  3026 
0.1002594 
0.1002161 

9.893  9291 
9.893  0124 
9.893  8957 

9-893  8790 
9.893  8623 

167 
167 
167 
167 
167 

5° 
40 

3° 

20 
IO 

27 

o 

9-793  67*7 

26  < 

9.899  8271 

A3  2 

o.ioo  1729 

9.893  8456 

1  68 

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33 

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3° 
40 

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9-793  *99» 
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9-793  75** 
9  793  7787 
9  793  8052 

265 

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16  < 

9.899  8703 
9.8999136 
9.899  9568 
9.9000000 
9.900  0433 

433 
43* 
43* 
433 

A12 

o.ioo  1297 
0.1000864 
0.1000432 

0.  ICO  0000 

0.099  9567 

9.893  8288 
9.893  8121 

9-893  7954 
9.893  7787 
9.893  7620 

167 

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167 

167 

168 

50 

40 

30 
2O 
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28 

o 

97938317 

26  < 

9.900  0865 

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0.0999135 

9.893  7452 

167 

o 

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30 

40 

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9-793  8582 
9  793  8847 
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9-793  9377 
9-793  9*4* 

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265 

265 

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26  < 

9.900  1297 
9.900  1730 
9.9002161 
9.900  2594 
9.900  3026 

433 
43* 
43* 
43* 

All 

0.099  8703 
0.099  8270 

0.099  7838 

0.099  7406 

0.099  6974 

9.893  7285 
9.893  7118 

9-893  6950 
9.893  6783 
9.893  6616 

167 
168 
167 
167 
168 

5° 
40 
30 

20 

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29 

0 

9-793  9907 

161 

9.900  3459 

All 

0.099  654* 

9.893  6448 

167 

o 

31 

IO 

20 
30 
40 
50 

9.7940172 

9-794  0437 
9.7940701 
97940966 
9  794  «3i 

265 
264 

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a*5 

IOC 

9.9003891 
9.9004323 
9.9004755 
9.9005188 
9.900  5620 

43* 
43* 
433 
43* 

0.099  6109 

0.099  5677 

0.099  5*45 
0.0994812 

0.099  4380 

9.893  6281 
9.8936113 
9.893  5946 

9-893  5779 
9.8935611 

168 
167 
167 
168 
167 

5° 
40 
30 
20 
IO 

30 

0 

9.794  1496 

9.9006052 

0-099  3948 

9-893  5444 

o 

30 

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Cos 

d. 

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d.c. 

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d. 

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521 


1 

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d.  c. 

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1 

30 

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9.794  1496 

064 

9.900  6052 

4.7.1 

0.099  3948 

9  893  5444 

168 

o 

30 

10 

20 

30 
40 
50 

9-794  *7fc> 
9-794  «»5 
9-794  *>9° 
9-794*554 
9-794  *8*9 

265 
165 
164 
165 

9.9006484 
9.900  6916 
9.900  7348 
9.9007781 
9.9008213 

43* 
43* 
433 
43* 

412 

0.0993516 
0.0993084 
0.099  *&5* 
0.099  2219 
0.699  1787 

9.893  5276 
9.893  5109 
9-893  494* 
9-893  4774 
9.893  4606 

167 
1  68 

l6Z 
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167 

5° 

40 

3° 
20 

10 

31 

o 

9-794  3083 

26< 

9.900  8645 

412 

0.099  *355 

9-893  4439 

168 

o 

29 

10 

20 

30 
40 
50 

9-794  3348 
9-794  36** 
9-794  3877 
9-7944*4* 
9-794  4406 

264 
265 

265 

9.9009077 
9.900  9509 
9.9009941 
9.901  0173 
9.901  0805 

43* 
43* 
43* 
43* 

0.099  09*3 
0.099  °49* 
0-099.0059 
0.098  9627 
0.098  9195 

9.893  4271 
9.893  4101 

9-893  3936 
9.893  3768 
9.893  3600 

168 
167 
168 
168 
167 

5° 
40 
30 

20 
IO 

32 

o 

9.7944670 

16  c 

9.901  1237 

411 

0.098  8763 

9-893  3433 

1  68 

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28 

IO 
20 
30 
40 
50 

9-794  4935 
9-794  5*99 
9-794  54*3 
9-794  57*8 
9-794  599* 

264 
265 

264 

264 

9.901  1670 

9.901  2102 
9.901  2S14 
9.9OI  2966 
9.901  3398 

43* 
43* 
43* 
43* 

492 

0.098  8330 
0.098  7898 
0.098  7466 
0.098  7034 
0.098  6602 

9-893  3*65 
9.893  3097 
9.893  2910 
9.893  2762 
9.893  2594 

168 
167 
168 
168 
168 

5° 
40 
30 
20 

IO 

33 

O 

9-794  6256 

264 

9.901  3830 

0.098  6170 

9.893  2426 

167 

o 

27 

IO 

20 

3° 

40 
50 

9-794  6520 
9-794  6784 
9-794  7049 
9-79473*3 
9-794  7577 

264 
265 
264 
264 

264 

9.901  4262 
9.901  4694 
9.901  5126 
9.901  5558 
9.901  5990 

43* 
43* 
43* 
43* 

471 

0.098  5738 
0.098  5306 
0.098  4874 
0.098  4442 
0.098  4010 

9.893  2259 
9.893  2091 
9-893  *9*3 
9-893  *755 
9.893  1587 

168 
168 
168 
168 
168 

5° 
4° 
30 

20 
10 

34 

o 

9-794  784* 

264 

9.901  6422 

0.098  3578 

9.893  1419 

168 

0 

26 

IO 

20 

30 
50 

9-794  8105 
9-794  8369 
9.794  8633 
9-794  8897 
9.7949161 

I4 
264 

264 
264 
264 

9.901  6853 
9.901  7285 
9.901  7717 
9.901  8149 
9.901  8581 

43* 
43* 
43* 
43* 
412 

0.098  3147 
0.098  2715 
0.098  2283 
0.098  1851 
0.098  1419 

9.893  I2<I 

9.893  1084 
9.893  0916 
9.893  0748 
9.893  0580 

16Z 

168 
168 
168 
168 

50 
40 
30 

20 
10 

36 

o 

9-79494*5 

164 

9.901  9013 

412 

0.098  0987 

9.893  0412 

168 

O 

25 

IO 
20 

3° 
40 

9-794  96°9 
9-7949953 
9.795  0216 
9-795  0480 
9-795  °744 

264 
263 
264 
264 
264 

9.901  9445 
9.901  9877 
9.902  0309 
9.902  0741 
9.902  1172 

43* 
43* 
43* 

0.098  0555 
0.098  0123 
0.097  9691 
0.097  9*59 
0.097  8818 

9-893  0244 
9.893  0076 
9.8929908 
9.892  9740 
9.892  9572 

168 
1  68 
168 
168 
168 

50 
40 

30 
2O 
10 

36 

o 

9.795  »oo8 

164 

9.902  1604 

0.097  8396 

9.892  9404 

168 

o 

24 

IO 
20 
30 
40 
50 

9-795  **7* 
9-795  *535 
9-795  *799 
9-795  *o63 
9-795  *3*6 

I3 
264 

264 
263 
264 

9.902  2036 
9.902  2468 
9.902  2900 
9.902  3332 
9.902  3763 

431 

43* 
43* 
43* 
43* 

0.097  79*4 
0-097  753* 
0.097  7100 
0.097  6668 
0.097  6237 

9.892  9236 
9.892  9067 
9.892  8899 
9.892  8711 
9.892  8563 

i6« 
168 
168 
168 
168 

50 
40 
30 

20 

IO 

37 

0 

9-795  *59° 

261 

9.902  4195 

431 

0.097  5805 

9.892  8395 

168 

o 

23 

IO 
10 

30 
40 
50 

9-795  *«53 
9-795  3**7 
9-795  338i 
9-795  3644 
9-795  390« 

264 
26* 

2§ 
26l 

9.902  4627 
9.902  5059 
9.902  5490 
9.902  5922 
9.902  6354 

43* 
43* 
43* 
43* 

0.097  5373 
0.097  4941 
0.097  4510 
0.097  4078 
0.097  3646 

9.892  8227 
9.892  8058 
9.892  7890 
9.892  7722 
9.8927554 

160 
168 

168 
168 

l6q 

50 
40 
30 

20 
10 

38 

o 

9-795  4*7* 

463 

9.902  6786 

0.097  3214 

9.892  7385 

168 

0 

22 

IO 

20 

30 
40 
50 

9-795  4434 
9-795  4698 
9-795  496x 
9-795  5**5 
9-795  5488 

264 
263 
264 
263 

26l 

9.902  7217 
9.902  7649 
9.9028081 
9.902  8512 
9.902  8944 

43* 
43* 
43* 
43* 

0-097  *7*3 
0.0972351 
0.097  1919 
0.097  1488 
0.097  1056 

9.892  7217 
9.892  7049 
9.892  6880 
9.892  6712 
9.892  6544 

168 

169 

168 

l6q 

50 
40 
30 
2O 
IO 

39 

o 

9-795  575* 

9.902  9376 

0.097  06x4 

9.892  6375 

168 

0 

21 

IO 

20 

30 
40 
50 

9.795  6014 
9-795  6278 
9-795  654* 
9-795  6804 
9-795  7067 

264 

263 
263 

26l 

9.902  9807 
9.903  0239 
9.903  0671 

9.903  1  102 
9.903  1534 

43* 
43* 
43* 
43* 

0.097  0193 
0.096  9761 

0.096  8598 
0.096  8466 

9.892  6207 
9.892  6039 
9.892  5870 
9.892  5702 
9-89*  5533 

168 
16? 
1  68 

50 
40 
30 

20 

10 

40 

o 

9-795  7330 

9.903  1966 

0.096  8034 

9-89*  53^5 

o 

20 

' 

" 

Cos 

d. 

Cotg 

d.c. 

Tang 

Sin 

d. 

II 

' 

432 

43.2 

86.4 

129.6 

i7*.8 

ti6.o 

259-* 

7  303.4 

83456 

9388.8 


431 

43-» 
86.a 

129.3 


258.6 

7  30'. 7 

8  344.8 
9)387.9 


264 

«6.4 
5»-8 
79-« 
•05.6 
132.0 
158.4 
184.8 

211. 1 
237.6 


263 
26.3 
52.6 
78.9 


!  13«.S 
S  IS7.8 
r  184.1 
I  2to.4 
»  236.7 


163 
16.8 
33.6 

50.4 
6?.» 
84.0 

100.8 
117.6 
134.4 


169 
16.9 
33.8 
So.r 
67.6 
84.$ 
101.4 
1183 
»3S.« 
152.1 


5r 


522 


38° 


432 

43.« 

86.4 

129.6 

172.8 

216.0 

259.2 

3<>2.4 

8  34S.6 

9388.8 


264 
26.4 
5».8 
79." 
105.6 
132.0 
158.4 
184.8 

211.2 
237.6 


263 

52J 

78.9 
105.2 

»57!8 
184.1 
210.4 
236.7 


262 

26.2 

5».4 
78.6 
104.8 
131.0 
'57.» 

7  183.4 

8  209.6 
»35.8 


168 

1 6. 8 
33.6 
5<>.4 
67.2 
84.0 


6  100.8 

7  "7.6 

8  134  4 

9  »5'.» 


169 
16.9 
338 


67.6 
84.5 

10 1. 4 
118.3 
'35-» 


r 

• 

Sin 

d. 

Tang 

d.c. 

Cotg 

Cos 

d. 

„ 

r 

40 

o 

9-795  7330 

163 

9.903  1966 

All 

0.096  8034 

9.891  5365 

o 

20 

IO 
IO 

30 
40 
50 

9-795  7593 
9-795  7*57 
9.795  8120 

9-795  8381 
9.795  8646 

164 
163 
163 
263 

2O1 

9-903  *397 
9.903  2819 
9.903  3160 
9.903  3691 
9.9034123 

43* 
43' 
43* 
43' 

0.096  7603 
0.096  7171 
0.096  6740 
0.096  6108 
0.096  5877 

9.8925196 
9.892  5028 
9.8924859 
9.8924691 
9.892  4522 

168 
1  60 
lit 

I6q 
l68 

50 
40 
30 
20 

IO 

41 

o 

9-795  8909 

2,6-1 

9-90345S5 

411 

0.096  5445 

9.8924354 

160 

o 

19 

10 

10 

30 
40 
50 

9.795  9171 
9-795  9435 
9-795  9*97 
9-795  9900 
9.796  0113 

263 

262 

263 
163 

zot 

9.903  4987 
9.903  5418 
9.903  5850 
9.903  6181 
9.903  6713 

43' 
43* 
43' 
43* 

411 

0.096  5013 
0.096  4581 
0.0964150 
0.096  3719 
0.096  3287 

9.8924185 
9.892  4016 
9.891  3848 
9.892  3679 
9.8923510 

109 
160 
1  68 
169 
169 
168 

50 
40 
30 

20 

IO 

42 

o 

9.796  0486 

x6t 

9.903  7144 

411 

0.096  2856 

9.892  3342 

1  60 

o 

18 

IO 
10 

30 
40 
50 

9.796  0749 
9.796  ion 
9.796  1274 
9.796  1537 
9.796  1800 

263 
261 
263 
263 
262 

9.903  7576 
9.903  8007 

9-903  8439 
9.903  8870 
9.903  9302 

43' 
43* 
43' 
434 

AIT 

0.096  2424 
0.096  1993 
0.096  1561 
0.096  1130 
0.096  0698 

9.8923173 

9.892  300A 

9.892  2836 
9.892  2667 
9.892  1498 

109 
169 
168 
169 
169 

50 

4° 
30 
20 

IO 

43 

o 

9.796  2061 

26? 

9-903  9733 

0.0-96  0267 

9.891  1319 

168 

0 

17 

IO 

20 

30 
40 
50 

9.796  1325 
9.796  2588 
9.796  2850 
9.7963113 
9-796  3375 

*6J 
261 

9.9040164 
9.9040596 
9.904  1027 
9.904  1459 
9.904  1890 

43  * 

43* 
43' 

All 

0.095  9836 
0.095  9404 
0.095  8973 
0.095  8541 
0.095  8no 

9.891  2161 

9.892  1002 

9.892  1823 
9.892  1654 

9.891  1485 

169 
169 
169 
169 

\f\n 

5° 
40 
30 
10 
10 

44 

o 

9.796  3638 

261 

9.9042311 

0.095  7679 

9.892  1316 

1  68 

o 

16 

10 
IO 

30 
40 
50 

9.796  3900 
9.796  4163 

9-796  44*5 
9.796  4680 
9.796  4950 

? 
262 

16* 

9-904  *753 
9.9043184 
9.904  3616 
9.904  404-7 
9.9044478 

43' 
43* 
43' 

43* 

0.095  7147 
0.095  6816 
0.095  6384 

o-°95  5953 
0.095  5512 

9.892  1148 

9.8920810 
9.892  0641 
9.891  0471 

169 

'S 
169 

169 
164 

50 
40 
30 

20 

10 

45 

0 

9.796  5111 

i,6t 

9.9044910 

431 

0.095  5090 

9.891  0303 

160 

o 

15 

10 

10 

30 
40 

5° 

9-796  5475 
9.796  5737 
9.796  5999 
9.796  6262 
9.796  6524 

262 
162 

161 

9.904  5341 

9-904577* 
9.904  6204 
9.904  6635 
9.904  7066 

43' 
43* 
43' 
43' 

0.095  4659 
0.095  4**8 
0-095  3796 
0-095  3365 
0.095  *934 

9.892  0134 
9.891  996? 
9.891  9796 
9.891  9617 
9.891  9458 

169 
169 
169 

160 

50 

4O 
30 
20 
IO 

46 

o 

9.796  6786 

262 

9.904  7497 

0.095  *503 

9.891  9289 

O 

14 

IO 

20 

30 
40 
50 

9.796  7048 
9.796  7310 
9.796  7571 
9.796  7834 
9.796  8097 

261 
161 
161 
163 
262 

9-904  79*9 
9.904  8360 

9-904  879' 
9.904  9221 
9.904  9654 

43' 
43  » 
43' 
43* 

411 

0.095  1071 
0.095  '640 
0.095  I109 
0.095  0778 
0.095  0346 

9.8919119 
9.891  8950 
9.891  8781 
9.8918612 
9.891  8443 

I7° 

169 
169 
169 
169 
160 

50 

40 
30 
2O 
10 

47 

o 

9.796  8359 

161 

9.905  0085 

At  I 

0.0949915 

9.891  8174 

o 

13 

IO 
20 

30 
40 
50 

9.796  8621 
9.796  8883 
9.796  9145 
9.796  9407 
9.796  9668 

161 
262 
262 
261 

9.9050516 
9.905  0947 
9.905  1378 
9.905  1810 
9.905  2241 

43' 
43' 
43* 

43' 

All 

0.0949484 
0.0940053 
0.094  8612 
0.094  8190 
0-094  7759 

9.891  8105 
9.891  7935 
9.891  7766 
9.891  7597 
9.891  7418 

170 
169 
169 
169 

50 
40 

30 

20 

IO 

48 

o 

9.796  9930 

262 

9.905  2671 

All 

0.0947318 

9.891  7158 

160 

0 

12 

10 

20 

30 
40 

50 

9.7970192 
9-797  0454 
9.7970716 
9-797  0978 
9-797  "39 

261 
262 
262 
261 
261 

9.905  3103 

9-905  3534 
9.905  3965 
9.905  4597 
9.905  4828 

43' 
43  * 
43* 
43  * 

All 

0.094  6897 
0.094  6466 
0.094  6035 
0.094  5603 
0.0945172 

9.891  7089 
9.891  6920 
9.891  6750 
9.8916581 
9.891  6412 

169 

170 
169 
169 

I7O 

50 
40 
30 

20 
IO 

49 

o 

9-797  '5oi 

161 

9.905  5259 

All 

0.094474' 

9.891  6242 

160 

O 

11 

10 

20 

30 

40 

5° 

9-797  '763 

9-797  202A 
9-797  »286 

9-797  *548 
9-797  *8o9 

16  1 
162 
262 
161 
262 

9.905  5690 
9.905  6121 

9-905  65$* 
9.905  6983 
9.9057414 

43' 
43' 
43' 
43' 

All 

0.0944310 
0.094  3870 
0.094  3448 
0.094  3017 
0.094  2586 

9.891  6073 
9.891  5903 
9.891  5714 
9.891  5565 
9-89'  5395 

170 
169 
I69 
170 
KM 

50 
40 
30 

20 
IO 

50 

o 

9-797  307' 

9.905  7845 

0.0941155 

9.891  5226 

0 

10 

' 

II 

Cos 

d. 

Cotg 

d.c. 

Tang 

Sin 

d. 

If 

• 

5r 


38° 


523 


I 

» 

Sin 

<L 

Tang 

d.  c 

Cotg 

Cos 

!*• 

H 

1 

50 

0 

9-797  3<>7* 

761 

9.905  7845 

431 

0.0942155 

9.891  5226 

1  70 

O 

10 

10 

20 

30 

40 
50 

9-797  333* 
9-797  3594 
9-797  3856 
9.7974117 

9-797  4378 

262 
262 
261 
261 
161 

9.905  8276 
9.905  8707 
9.905  9118 
9.905  9569 
9.9060000 

43  * 
43* 
43* 
43* 

431 

0.094  1724 
0.094  1293 
0.094  0862 
0.0940431 
0.0940000 

9,891  5056 
9.8914887 
9.891  4717 
9.891  4548 
9.891  4378 

169 

170 

ITO 

50 
40 
30 
2O 
IO 

51 

•o 

9-797  4640 

9.9060431 

0-093  9569 

9.891  420? 

l6Q 

o 

9 

IO 

20 

30 

40 

50 

9-797  490* 
9.7975163 

9-797  54*4 
9-797  5685 
9-797  5947 

261 
261 
262 
261 

9.906  0862 
9.906  1293 
9.906  1724 
9.906  2155 
9.906  2586 

43* 
43* 
43* 
43* 

431 

0.093  9*38 
0.093  8707 
0.093  8276 
0.093  7845 
0.093  74*4 

9.891  4039 

9-89*  3869 
9.891  3700 
9.891  3510 
9.891  3360 

170 
169 

170 

T 

104 

50 

40 
30 
20 
10 

52 

o. 

9.797  6208 

261 

9.906  3017 

431 

0.093  6983 

9.891  3191 

ITO 

o 

8 

10 
20 
30 
40 
50 

9-797  M9 
9-797  6730 
9-797  699* 
9-797  7*53 
9-79775*4 

261 
261 
262 
261 
261 

9.906  3448 
9.906  3879 
9.9064310 
9.906  4741 
9.9065172 

43* 
43* 
43* 

43* 

0.093  655* 
0.093  6121 
0.093  569° 
0.093  5*59 
0.093  48*8 

9.891  3021 
9.891  2851 
9.891  2681 
9.891  2512 
9.891  2342 

I7O 
170 
169 
I70 

no 

50 
40 
30 

20 

10 

53 

O 

9-797  7775 

261 

9.906  5603 

A.1t 

0-093  4397 

9.891  2172 

no 

0 

7 

IO 
20 
30 
40 
50 

9-797  8036 
9-797  8297 
9-797  8558 
9-797  8819 
9-797  9°8o 

261 
261 
261 
261 
261 

9.906  6034 
9.906  6464 
9.906  6895 
9.906  7326 
9.906  7757 

O  t  M  M  H 

0.093  3966 
0.093  3536 
0-093  3*05 
0.093  2&74 
0.093  "43 

9.891  2OO2 
9.891  1833 
9.891  1663 
9.891  1493 
9.891  1323 

169 

170 
170 
170 
no 

50 
40 

3° 
20 

10 

54 

0 

9-797  934* 

261 

9.9068188 

411 

0.093  1812 

9.891  1153 

1  7O 

o 

6 

IO 
20 

30 
40 
50 

9-797  96o* 
9-797  9863 
9.7980124 
9.798  0585 
9.798  0645 

261 
261 
261 

261 

9.906  8619 
9.906  9050 
9.9069480 
9.9069911 
9.907  0342 

43* 
430 
43' 
43* 
41* 

0.093  *38i 
0.093  0950 
0.093  0520 
0.093  °°89 
0.092  9658 

9.891  0983 
9.891  OBI3 
9.891  0643 
9.891  0473 
9.891  0303 

170 
I70 
170 
170 
170 

50 
40 
30 

20 
10 

55 

O 

9.798  0906 

161 

9.907  0773 

43* 

0.092  9227 

9.891  0133 

I7O 

O 

5 

IO 
20 
30 
40 
50 

9.7981167 
9.798  1428 
9.798  1688 
9-798  »949 

9.798  22IO 

261 
260 
261 
261 

9.907  1204 
9.907  1634 
9.907  2065 
9.9072496 

9.907  2927 

430 
43* 
43* 
43* 

0.092  8796 
0x192  8366 
0.092  7935 
0.092  7504 
0.092  7073 

9.8909963 
9.8909793 
9.890  9623 
9.8909453 
9.8909283 

170 
170 
170 
170 

50 
40 
30 
20 
IO 

56 

0 

9.798  2470 

261 

9-907  3357 

411 

0.092  6643 

9.8909113 

no 

0 

4 

IO 
20 
30 
40 
50 

9.798  2731 
9.798  2992 
9.798  3252 
9-798  3513 

9-798  3773 

261 
260 
261 
260 
261 

9.907  3788 
9.907  4219 
9.907  4649 
9.907  5080 
990755** 

43* 
43° 
43* 
43* 

0.0926212 
0.092  5781 
0.0925351 
0.092  4920 
0.092  4489 

9.890  8943 
9.8908773 
9.890  8603 
9.890  8433 
9.890  8262 

170 
170 
170 

*7* 

no 

50 
40 
30 
20 
IO 

57 

0 

9.798  4034 

260 

9.907  5941 

0.0924059 

9.890  8092 

O 

3 

10 

20 

30 
40 
50 

9.798  4294 

9-7984555 
9.798  4815 
9.798  5075 
9.798  5336 

261 
260 
260 
261 
260 

9.907  6372 
9.907  6803 
9.907  7233 
9.907  7664. 
9.907  8095 

M  O  M  M  C 

0.092  3628 
0.092  3197 
0.092  2767 
0.092  2336 
0.092  1905 

9.890  7922 
9.890  7752 
9.8907582 
9.8907411 
9.890  7241 

170 
170 
171 
170 

50 
40 
30 
20 
IO 

58 

o 

9.798  5596 

260 

9.907  8525 

0.092  1475 

9.8907071 

O 

2 

so 

20 

30 

40 

50 

9.798  5856 
9.7986117 
9.798  6377 
9.798  6637 
9.798  6897 

261 
260 
260 
260 
261 

9.907  8956 
9.907  9187 

9.907  98*7 
9.908  0248 
9.908  0678 

43* 
430 
43* 
430 

0.092  1044 
0.092  0613 
0.091  0183 
0.091  9752 
0.091  9322 

9.890  6900 
9.8906730 
9.890  6560 
9.8906389 
9.8906219 

170 
170 
171 
I70 

I7O 

50 
40 
30 
2O 
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9.802  1532 
9.802  1789 
9.802  2040 
9.802  2303 
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9-888  3235 
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426 

0.067  6911 
0.067  6485 
0.067  6059 
0.067  5633 
0.067  S*0? 

9.880  7035 
9.8806855 
9.880  6675 
9.8806495 
9.8806314 

1  80 
180 
180 
181 
180 

50 
40 
30 

20 
IO 

34 

O 

9-8'3  »354 

246 

9.932  5220 

4*7 

Atf\ 

0.067.  4?8° 

9.8806134 

180 

0 

26 

IO 

20 

3«> 
40 

50 

9.813  1600 
9.813  1846 
9.813  2092 
9.813  2337 
9.8132583 

246 
246 

**l 
246 

246 

9.932  5646 
9.932  6072 
9.932  6498 
9.932  6924 
9-93*7351 

426 
426 
426 

4*7 
426 

0.067  4354 
0.067  3928 
0.067  3502 
0.067  3076 
0.067  2649 

9.880  5954 
9.880  5774 
9.880  5593 
9.8805413 
9.8805233 

1  80 
181 
1  80 
180 
181 

50 
40 
30 
2O 
10 

35 

O 

9.813  2829 

246 

9.932  7777 

426 

0.067  2223 

9.880  5052 

1  80 

o 

25 

10 

20 
30 
40 
50 

9.813  3075 
9.8133321 
9.813  3566 
9.813  3812 
9.813  4058 

246 

H2 
246 

246 
245 

9-93*  8*03 
9.932  8629 
9.932  9055 
9.932  9481 
9.9329907 

426 
4*6 
426 
426 

417 

0.067  1797 
0.067  1371 
0.067  0945 
0.0670519 
0.067  0093 

9.8804872 
9.880  4692 
9.8804511 
9.8804331 
9.8804150 

1  80 
181 
1  80 
181 

1  80 

50 
40 
30 

20 

10 

36 

0 

9.813  4303 

246 

9-933  «>334 

Cko66  9666 

9.880  3970 

181 

o 

24 

IO 
20 

30 
40 
50 

9.813  4549 
9.813  4795 
9.813  5040 
9.813  5186 
9.8135531 

246 

**l 

246 

^ 

246 

9.933  0760 

9-933  *«tt 
9.933  1612 

9-933  *>38 
9-933  M64 

426 
426 
426 
426 

0.066  9240 
0.066  8814 
0.066  8388 
0.066  7962 
0.066  7536 

9.880  3789 
9.880  3609 
9.88034*8 
9.8803248 
9.880  3067 

180 

181 
180 
181 

1  80 

50 
40 
30 

20 
IO 

37 

O 

9.813  5777 

*45 

9-933  1890 

426 

0.066  7110 

9.880  2887 

181 

O 

23 

IO 

1C 

30 
40 
50 

9.813  6022 
9.813  6168 
9.813  6513 
9.813  6759 
9.813  7004 

146 

MS 

246 

MS 
246 

9-933  33  16 
9-933  374* 
9-933  4i68 
9-933  4594 
9.933  5020 

4*J 
426 

426 
426 

A.1& 

0.066  6684 
0.066  6258 
0.066  5832 
0.066  5406 
0.066  4980 

9.880  2706 
98802526 
9.880  2345 
9.8802164 
9.880  1984 

1  80 
181 
181 

1  80 

181 

S° 
40 
30 
20 

IO 

38 

o 

9.813  7250 

zic 

9  933  5446 

0-066  4554 

9.880  1803 

181 

o 

22 

10 

IO 

30 
40 

5° 

9-8  1  3  7495 
9.813  7740 
9.813  7986 
9.813  8231 
9.813  8476 

MS 
246 

MS 
MS 

04  c 

9-933  5873 
9  933  *»99 
9-933  67*5 
9  933  7»5> 

9-933  7577 

4l6 

4l6 
426 
426 

d.  ift 

00664127 
0.066  3701 
O.o66  3275 
0.066  2849 
0.066  2423 

9.880  1622 
9.880  1442 
9.880  1261 
9.880  1080 
9.8800899 

1  80 
iSi 
181 
181 
1  80 

5° 
40 
30 
20 

IO 

39 

o 

9.813  8721 

24? 

9-933  8003 

±26 

0.066  1997 

9.8800719 

181 

o 

21 

IO 

30 

30 

40 

5° 

9.813  8966 
9.813  9212 
9.813  9457 
9.813  9702 
9.813  9947 

146 

MS 
MS 
M5 

14s 

9-933  8419 
9  933  8855 
9-933  9181 
9-933  9707 
9.9340133 

426 
426 
426 
4*6 

A  l6 

0.066  1571 
0.066  1145 
0.066  0719 
0.066  0293 
0.065  9867 

9.8800538 
9.8800357 
9.8800176 
9.879  9995 
9.8799815 

181 
181 
181 

1  80 
181 

50 
40 

3° 
20 

IO 

40 

o 

9.8140191 

9.934«>559 

0.065  9441 

9.879  9634 

o 

20 

i 

II 

Cos 

d. 

Cotg 

d.  c. 

Tang 

Sin 

d. 

II 

i 

427 


170.8 
2I3.S 

256.3 
298.9 

8  341.6 

9  384.3 


426 

42.6 
85.2 
127.8 


. 
255.6 

7  298.2 

8  340.8 

9  383.4 


246 

24.6 
49  2 
73.8 
98.4 

5  '23.0 

6  147.6 

7  172.2 
8196.8 
91*91.4 


245 

«4.S 
49.o 

7I'5 
98.0 

ia«.s 

147.0 
.  I7LS 
8  196.0 


180 
18.0 
36.0 


90.0 
108.0 
126.0 
144.0 
162.0 


181 

18.1 

36.2 

54.3 
72.4 
90.5 
108.6 

11*6.7 
144.8 
162.9 


49* 


534 


40C 


426 

43.6 
85.2 
127.8 
>70.4 

3X3.0 

7298!, 

8340.8 
9  383.4 


425 

42.5 
8S.o 

i7o.o 

2X2.5 

»S5.o 

7  397.5 

8  340.0 

9  382.5 


245 

M.S 

49-° 
73.S 
98.0 


196.0 
320.5 


244 

»4.4 
48.8 
73.* 
97.* 

111.0 

«46.4 
170.8 
I9S.* 
219.6 


181 

18.1 

36.2 

54.3 

7».4 

9°.5 

108.6 

126.7 

144.8 

163.9 


182 

18.2 

36.4 

54.6 

7».8 

91.0 

109.2 

"7.4 

M5.6 

163.8 


1 

a 

Sin 

d. 

Tang 

d.c. 

Cotg 

Cos 

d- 

H 

1 

40 

0 

9.8140192 

21  C 

9-9340S59 

426 

0-0659441 

9.879  9634 

181 

0 

20 

IO 
20 
30 
40 
50 

9.8140437 
9.814  0682 
9.814  0917 
9.8141172 
9.814  1417 

*45 
*45 
MS 
*45 

J4.C 

9.9340985 
9.934  1410 
9-934  "36 
9.934  2262 
9.934  2688 

415 
426 
426 
426 
426 

0.065  0015 
0.065  8590 
0.065  8164 

0.065  7738 

0.065  7312 

9-879  9453 
9.879  9274 
9.879  0091 
9.879  8910 
9.879  8729 

181 
181 
181 
181 
iti 

50 
40 
30 

20 

IO 

41 

0 

9.814  1662 

24^ 

9.9343114 

426 

0.065  6886 

9.879  8548 

181 

o 

19 

10 

20 

30 

4° 
50 

9.814  1907 
9.8142152 
9.814  2597 
9.814  2642 
9.814  2887 

245 

*45 
*45 
H5 
*11 

9-934  3540 
9-934  3966 
9-934  439* 
9.9344818 

9-934.5M4 

426 
426 
426 
426 

420 

0.065  6460 
0.065  6034 
0.065  5608 
0.065  5*82 
0.065  4756 

9.879  8367 
9.879  8186 
9.879  8005 
9.879  7824 
9.879  7643 

181 
181 
181 
181 
181 

50 
40 
30 

20 

10 

42 

0 

9.8143131 

24.S 

9-934  567° 

4l6 

0.065  433° 

9.879  7462 

181 

o 

18 

IO 

20 

30 

40 
50 

9.814  3376 
9.8143621 
9.874  3866 
9.8144110 
9-8H4355 

MS 
MS 
244 

MS 

OAC 

9.934  6096 
9-934  65" 
9-934  694? 
9-934  7373 
9-934  7799 

4*5 
426 
426 
426 
4.26 

0.065  3004 
0.065  3479 
0.065  3053 
01065  2627 
0.065  *ao1 

9.879  7281 
9.879  7099 
9.8796918 
9.879  6737 
9.879  6556 

182 
181 
181 
181 
181 

50 
40 

30 

20 

IO 

43 

o 

9.814  4600 

1AA 

9-934  8"5 

426 

0.065  1775 

9.879  6375 

iXr 

o 

17 

10 

20 

30 
40 

50 

9.814  4844 
9.814  5089 
9.814  5334 
9.8145578 
9.814  5823 

MS 
245 

M4 
MS 

4JLA 

9-934  8651 
9.9349077 
9.9349502 
9-93499^8 
9-935  0354 

426 

**l 
426 

426 
4.26 

0.065  1349 
0.065  0923 
0.065  0495 
0.065  007* 
0.064  9646 

9.879  6194 
9.879  6012 
9.879  5831 
9.879  5650 
9.879  5468 

1  H  M  M  H  H 

eoooeooo  <x 

1  M  M  M  M  H 

50 
40 

30 

20 

IO 

44 

0 

9.814  6067 

O4  e 

9-935  0780 

426 

0.064  92ZO 

9.879  5287 

181 

o 

16 

IO 

20 

30 
40 
50 

9.8146312 
9.8146556 
9.814  6801 

9.8147045 
9.8147289 

244 

MS 
244 
244 
245 

9.935  1206 
9-935  1632 
9-935  *Q57 
9-935  MX3 
9-935  *9°9 

426 

426 
426 
426 

0-064  8794 
0.064  8368 
0.064  7943 
0.064  7517 
0.064  7091 

9.879  5106 
9.8794924 

9-8794743 
9.8794562 
9.8794380 

182 
181 
181 
182 
181 

50 
40 
30 

20 

10 

45 

o 

9.8147534 

244 

9-935  3335 

426 

0.064  6665 

9.8794199 

182 

o 

15 

IO 
20 

30 
40 
50 

9.814.7778 
9.814  8022 
9.814  8267 
9.8148511 
9.8148755 

244 

MS 
244 
044 

1,AA 

9-935376I 
9-935  4»86 
9-935  4612 
9-935  5058 
9-935  54H 

425 
426 
426 
426 

4.2  ( 

0.064  6239 
0.064  5814 
0.064  5388 
0.064  4962 
0.064  4536 

9.879  4017 
9.879  3836 
9-879  3655 
9-879  3473 
9.879  3292 

181 
181 
182 
181 
182 

50 
40 
30 

20 

10 

46 

o 

9.814  8999 

24C 

9-935  5889 

4.26 

0.0644111 

9.8793110 

181 

o 

14 

IO 
IO 

30 
40 
50 

9.8149244 
9.814  9488 
9.8149734 
9.8149976 

9.815  O22O 

244 
244 
244 

M4 

1.1,1 

9-935  6315 
9-935  674i 
9-935  7«7 
9-935  759* 
9-935  8018 

426 

4*6 
425 
426 
4.26 

0.064  3685 
0.064  3259 
0.064  2831 
0.064  2408 
0.064  J98* 

9.879  2929 
9.879  2747 
9.879  2565 
9.879  2384 

9.879  22O2 

182 
182 
181 
182 
18? 

50 
40 
30 

20 
10 

47 

o 

9.815  0464 

1AA 

9-935  8444 

4.2  S 

0.064  1556 

9.879  2O2I 

187 

0 

13 

IO 
10 

30 
40 
50 

9.815  0708 
9.815  0952 
9.815  1196 
9.815  1440 
9.815  1684 

M4 
244 
244 
244 

VIA 

9-935  8869 
9-935  9*95 
9-935  97*i 
9.936  0146 
9.936  0572 

426 
426 

4*I 
42g 

4.26 

0.064  1131 
0.064  0705 
0.064  0279 
0.063  9854 
0.063  9428 

9.879  1839 
9.879  1657 
9.879  1476 

9-879  "94 

9.879  II  12 

182 
181 
182 
182 

187 

50 
40 
30 

20 

10 

48 

0 

9.815  1928 

*AA 

9.936  0998 

4.4  1 

0.063  9001- 

9.8790930 

181 

o 

12 

10 
20 

30 
40 
50 

9.815  2172 
9.815  2Al6 
9.815  2b6O 

9-fl5  »9°4 
9.815  3148 

H4 

244 
144 
244 

24.4 

9.936  1423 
9.936  1849 
9.936  2275 
9.936  2700 
9.936  3126 

426 
426 

4*5 
426 

426 

0.063  »577 
0.063  8151 
0-063  77*5 
0.063  73°° 
0.063  6074 

9-8790749 
9.879  0567 
9.879  0385 
9.879020J 
9.8790011 

181 
182 
182 
182 

iSi 

50 
40 
30 

20 
IO 

49 

o 

9.815  3391 

T.AA 

9-936  3552 

4.2  e 

0.063  6448 

9.878  9840 

18? 

o 

11 

IO 

20 

30 
40 

50 

9-815  3635 
9.815  3879 
9.815  4125 
9.8154566 
9.815  4610 

M4 
244 

M3 
244 

14,4 

9.936  3977 
9.936  4*03 
9.9364829 
9.936  5254 
9.936  5680 

426 
426 

42< 

426 

4.2  C 

0.063  6023 
0.063  5597 
0.063  5171 
0.063  4746 
0x563  4320 

9.878  9658 
9.878  9476 
9.878  9294 
9.8780112 
9.878  8930 

182 
182 
182 
182 
181 

5° 

40 
30 

20 
10 

50 

o 

9.815  4854 

9.936  6105 

0.063  3895 

9.878  8748 

0 

10 

* 

II 

Cos 

d. 

Cotg 

d.c. 

Tang 

Sin 

d. 

II 

1 

40° 


535 


t 

„ 

Sin 

d. 

Tang 

d.  c. 

Cotg 

Cos 

A 

H 

1 

50 

o 

9.815  4854 

244 

9.936  6105 

416 

0.0633895 

9.878  8748 

182 

0 

10 

IO 

20 

30 
40 

9.815  5097 
9.815  5341 
9.815  5584 
9.815  5828 
9.815  6072 

*44 
*43 
*44 
*44 

9.9366531 

9-936738* 
9.936  7808 
9.936  8133 

426 

4*5 
426 

4*5 

0.063  3469 
0.063  3°43 

0.063  2192 
0.063  X7^7 

9.878  8566 
9.878  8384 
9.878  8202 
9.878  8020 
9.8787838 

182 
182 
182 
182 
181 

50 

40 

3° 

20 
10 

51 

o 

9.815  6315 

1AA 

9.936  8659 

42  S 

0.063  X34X 

9.878  7656 

ifti 

O 

9 

10 
20 
30 
40 

So 

9.815  6559 
9.815  6802 
9.815  7045 
9.815  7289 
9.815  7532 

*43 
*43 
244 

*43 

244 

9.936  9084 
9.936  9510 
9.936  9936 
9-937  0361 
9-937  0787 

426 
426 

4*! 
426 

4ic 

0.063  °9X6 
0.063  0490 
0.063  0064 
0.062  9639 
0x262  9213 

9-878  7474 
9.878  7292 
9.878  7110 
9.878  6928 
9.878  6746 

H  H  (4  H  n 

OO  OO  OO  OO  OC 
M  M  M  M  H 

50 
40 
30 
20 
10 

52 

o 

9.815  7776 

9.937  1212 

426 

0.062  8788 

9.878  6563 

187 

0 

8 

IO 

20 
30 
40 

S° 

9.815  8019 
9.815  8262 
9.815  8506 
9.815  8749 
9.815  8992 

*43 
*44 
*43 
*43 

9-937  1638 
9.937  2063 
9-937  *489 
9-937  *9*4 
9-937  3340 

426 
426 

0x362  8362 
0x562  7937 
010627511 

0.062  7086 
0.062  6660 

9.878  6381 
9.878  6199 
9.878  6017 
9.8785835 
9-878  565* 

182 
182 
182 

'f3 
182 

40 
30 
2O 
IO 

53 

o 

9.815  9135 

444 

9-937  3765 

4ft  6 

0.062  6135 

9.878  5470 

181 

0 

7 

IO 

20 

30 
40 

9.815  9479 
9.815  9722 
9.815  9965 
9.816  0208 
9.8160451 

*43 
*43 
*43 
*43 

9-937  4i9i 
9.9374616 

9-937  504* 
9-937  5467 

426 
426 

0.062  5809 
00625384 
0.061  4958 
0x3624533 

0.062  4107 

9.878  5288 
9.878  5106 
9.8784923 
9.8784741 
9.878  4558 

rt  *»>rt  rot 

OO  OO  OO  OO  01 
M  M  M  M  N 

50 
40 

30 

20 

IO 

54 

o 

9.8160694 

241 

9-937  6318 

42  C 

0.062  3682 

9.8784376 

fg* 

o 

6 

IO 

20 

30 
40 

50 

9.816  0957 
9.816  1180 
9.816  1423 
9.816  1666 
9.816  1909 

*43 
*43 
*43 
»43 
*43 

9-937  6743 
9-937  71*9 
9-937  7594 
9.937  8020 

9-937  8445 

426 

4*5 
426 

426 

0.062  3257 
0.062  2831 
0x3622406 
0x362  1980 
0x3621555 

9.878  4194 
9.8784011 
9.878  3829 
9.878  3646 
9.878  3464 

W»«4  «*»  **  c* 

00  00  00  00  00 
H  M  H  M  M 

50 

40 

30 

20 

10 

55 

o 

9.816  2152 

243 

9.937  8871 

4*5 

0.062  1129 

9.878  3281 

182 

o 

5 

IO 
20 
30 
40 

5° 

9.816  2395 
9.816  2618 
9.816  2881 
9.8163124 
9.816  3366 

*43 
*43 
*43 
242 

1A7 

9-937  9296 
9-937  97*i 
9.938  0147 
9.938  0572 
9.938  0998 

4*5 
426 

4*5 
426 

42  < 

0.062  0704 
0.062  0279 
0.06  1  9851 
0.06  1  9428 
0.061  9002 

9.878  2916 
9.878  2734 
9-8782551 
9.878  2369 

x!3 
182 

Xf3 
182 

50 
40 
30 

20 

IO 

56 

o 

9.816  3609 

9.938  1423 

42C 

ox)6i  8577 

9.8782186 

1  81 

o 

4 

IO 

20 

30 

40 
50 

9.816  3852 
9.816  4095 
9.816  4357 
9.8164580 
9.8164823 

*43 

242 

*43 
243 

9.938  1848 
9.938  2274 
9.938  2699 
9.938  3125 
9-938  3550 

4*6 

4*5 

AI  c 

0x361  8152 
0.06  1  7726 
0.061  7301 
0.061  6875 
0.061  6450 

9.8782004 
9.878  1821 
9.878  1638 
9.878  1456 
9.878  1273 

to  «*)  H  «»>  «< 

OO  OO  OO  OO  0« 
M  M  M  M  H 

50 
40 
30 

20 
IO 

57 

o 

9.816  5066 

242 

9-938  3975 

4.l6 

0.061  6025 

9.878  1090 

0 

3 

10 

20 

3° 
40 

50 

9.816  5308 
9.8165551 
9.8165793 
9.816  6036 
9.8166278 

*43 

*4* 
*43 
242 

9.938  4401 
9.938  4826 
9.9385251 
9.938  5677 
9.938  6102 

4*5 
4*5 
426 

4*5 

42  C 

0.061  5599 
0x361  5174 
0.061  4749 
0x361  4323 
0.06  1  3898 

9.8780908 
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9-956  5963 
9.956  6187 
9.956  6810 

4*3 
4*3 

4*4 
4*3 

0.043  4883 
0.043  446o 
0.043  4037 
0.043  3613 
0.043  3*90 

9.870  14*3 
9.870  1131 
9.870  1041 
9.8700851 
9.8700661 

191 
IQO 
191 
190 
XQI 

50 
40 
30 

20 

10 

9 

o 

9.816  7703 

111 

9-9S6  7133 

421 

0.043  *767 

9.870  0470 

IQO 

o 

51 

10 

to 

30 
40 
50 

9.826  7936 
9.826  8168 
9.826  8401 
9.826  8633 
9.826  8866 

131 
133 
131 
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9.956  7656 
9.956  8079 
9-956  8501 
9.956  8916 
9.956  9349 

4*3 
4*4 
4*3 
4*3 

All 

0.043  *344 
0.043  1911 
0.043  1497 
0.043  1074 
0.043  0651 

9.870  0180 
9.870  0089 
9.869  9898 
9.869  9708 
9.8699517 

191 
191 
190 
191 

IQI 

50 
40 

30 

20 

10 

10 

o 

9.826  9098 

9.956  9771 

0.043  0218 

9.869  9316 

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50 

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d. 

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d.c. 

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d. 

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d. 

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1 

10 

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9.826  909 

21? 

9.956  9772 

4.1 

0.043  022) 

9.869  931 

XQO 

o 

50 

10 
20 

3° 

40 

5° 

9.816  933 
9.826*956 
9.826  9791 
9.827  002! 
9.827  0261 

aja 

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*33 

191 

9.957  0195 
9.9570618 
9-957  «>4* 
9-957  H6s 
9.957  1888 

4*3 
4*4 
4*3 
4*3 
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0.042  9805 
0.042  038: 
0.041  995! 
0.042  8535 
0.042  811: 

9.869  013 
9.869  894 
9.869  875 
9.869  856 
9.869  837 

191 
191 
191 
190 

IQI 

50 
40 
30 

20 
10 

11 

0 

9.827  0493 

MJt 

9-957*3" 

421 

0.042  7689 

9.869  818 

igi 

0 

49 

10 

10 

30 
40 

5° 

9.827  072; 
9.8270958 
9.827  1190 
9.827  1422 
9.827  1654 

*33 
a3a 
232 

232 

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9-957  *734 
9-957  3^57 
9-957  35" 
9.9574004 

9-957  44*7 

4*3 
4*4 
4*3 
4*3 

421 

0.042  7266 
0.042  6843 
0.042  6411 
0.042  5996 
0.042  5573 

9.869  7800 
9.869  7601 
9.869  741 
9.869  7228 

i9i 
191 
191 
190 

IQI 

50 
40 
30 

20 

10 

12 

o 

9.827  1887 

232 

9-957  4850 

421 

0.042  5150 

9.869  7037 

IQI 

o 

48 

to 

ao 

3° 
40 

50 

9.827  2119 
9.8272351 
9.827  2583 
9.827  281  < 
9.827  3047 

*3* 
232 
232 
232 

252 

9-957  5*73 
9-957  5696 
9.9576119 

9-957  654* 
9-957  6965 

4*3 
4*3 

4*3 
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424 

0.0424727 
0.042  4304 
0.042  3881 
0.042  3458 
0.042  3035 

9.869  6846 
9.869  6655 
9.869  646, 
9.869  627' 
9.869  6082 

191 
191 
I9I 
I9I 
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50 
40 

30 

20 
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13 

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9.827  3279 

212 

9-957  7389 

421 

0.042  2611 

9.869  5891 

IQI 

0 

47 

10 

20 

3° 
40 

50 

9.8273511 
9.827  3744 
9.827  3976 
9.827  4208 
9.827  4440 

*33 

232 
232 
232 

171 

9-957  78n 
9-957  8*35 
9.957  8658 

9-957  9°8i 
9-957  9504 

4*3 
4*3 
4*3 
4*3 

419 

0.042  2188 
0.042  1765 
0.042  1341 
0.042  0919 
0.042  0496 

9.869  5700 
9.869  5509 
9.869  5318 
9.8695127 
9.8694935 

191 
I9I 
I9I 
191 
IQI 

5° 

40 
30 

20 
IO 

14 

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9.827  4671 

191 

9-957  99*7 

4-29 

0.042  0073 

9.869  4744 

IQI 

o 

46 

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20 

30 
40 
50 

9.827  4903 
9.827  5135 
9.827  5367 
9.827  5599 
9.8275831 

232 
232 
232 
232 
232 

9.958  0350 
9.958  0773 
9.958  1196 
9.958  1619 
9-958  2042 

4*3 
4*3 
4*3 
4*3 
4*3 

0.041  9650 
0.041  0227 
0.041  8804 
0.041  8381 
0.041  7958 

9.869  4553 
9.869  4362 
9.8694171 
9.869  3980 
9.869  3788 

191 
I9I 
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192 
191 

50 

40 
30 

20 

10 

15 

o 

9.827  6063 

231 

9.958  2465 

424 

0.041  7535 

9.869  3597 

191 

o 

45 

10 

20 

30 
40 

5° 

9.827  6294 
9.827  6526 
9.827  6758 
9.827  6990 
9.827  7221 

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231 

aia 

9.9582889 
9.958  3312 
9-9583735 
9-9584158 
9.9584581 

4*3 
4*3 
4*3 
4*3 

421 

O.O4I  7III 

0.041  6688 
0.041  6265 
0.041  5842 
0.041  5419 

9.869  3406 
9.869  3215 
9.869  3023 
9.869  2832 
9.869  2641 

191 
192 
I9I 
191 

iqi 

50 
40 
30 

ao 

10 

16 

o 

9.827  7453 

212 

9-958  5004 

422 

0-041  4996 

9.869  2449 

JOI 

o 

44 

10 
20 
30 
40 

5° 

9.827  7685 
9.827  7916 
9.827  8148 
9.827  8380 
9.827  86  1  1 

a3i 
232 

»3* 
231 

292 

9.958  5427 
9-958  5850 
9.9586273 
9.958  6696 
9.9587119 

4*3 
4*3 
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421 

0.041  4573 
0.041  4150 
0.041  3727 
0.041  3104 
0.041  2881 

9.869  2258 
9.869  2067 
9.869  1875 
9.869  1684 
9.869  i49a 

I9I 
191 

»9* 
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IQI 

So 
40 
30 

20 

10 

17 

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9.8278843 

291 

9.958  7542 

4.24 

0.041  2458 

9,869  1301 

IQI 

o 

43 

IO 

20 
30 
40 

5° 

9.827  9074 
9.827  9306 

9-8*79537 
9.827  9769 
9.8280000 

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291 

9.958  7965 
9.958  8188 
9.9588811 

9.95|9*34 
9.958  9657 

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4*3 
4*3 
4*3 

4.21 

0.041  2035 
0.041  1612 
0.041  1189 
0.041  0760 
0-041  0343 

9.869  1109 
9.869  0918 
9.869  0726 
9.8690535 
9.8690343 

191 
191 
191 
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50 
40 
30 

ao 

10 

18 

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9.8280231 

292 

9.9590080 

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0.040  9920 

9.869  0151 

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o 

42 

TO 

ao 
30 
40 
5° 

9.828  0463 
9.8280694 
9.828  0925 
9.8281157 
9.828  1388 

aji 
431 
232 
231 

211 

9-959  0503 
9-959  «9*S 
9-959  '349 
9-959  177* 
9-959  "95 

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0.0409497 
0.0400074 
0.0408651 
0.040  8228 
0.040  7805 

9.8689960 
9.8689768 

9-f"9577 
9.868  9385 
9.868  9193 

192 
191 

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50 
40 
30 
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10 

19 

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98281619 

212 

9.959  2618 

0.040  7382 

9.868  9001 

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0 

41 

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ao 

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40 
50 

9.828  1851 
9.828  2082 
9.828  2313 
9.828  2544 
9.828  2775 

aji 
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211 

9.959  3041 

9-959  3464 
9-9593886 

9-959  4309 
9-959  473* 

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4*3 
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421 

0.040  6959 
0.040  6536 
0.0406114 
0.040  5691 
0.0405208 

9.868  8810 
9.868  8618 
9.868  8417 
9.868  8235 
9.868  8043 

192 
191 

iga 
191 

Q2 

50 
40 

30 
20 

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20 

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9.828  3006 

9-9595155 

0.0404845 

9.868  7851 

o 

40 

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d. 

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191 
19.1 

38.2 

57.3 
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114.6 
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19.2 
38.4 
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9.818  3006 

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9-959  5»55 

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0x404845 

9.868  7851 

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9.818  3138 
9.818  3469 
9.818  3700 
9.818  3911 
9.8184161 

131 

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131 
131 

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9-959  5578 
9.9596001 
9.959  6*24 
9-959  6*47 
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4»3 
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411 

0.040  4411 

0-0403999 
0.040  3576 
0.0403153 

0.040  1730 

9.868  7659 
9.868  7468 
9.868  7176 
9.868  7084 
9.868  6892 

191 
191 
191 
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IQl 

50 
40 

30 

20 
10 

21 

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9.818  4393 

MI 

9-959  7^3 

4M 

0.040  1307 

9.868  6700 

IQl 

O 

39 

10 

10 

30 
40 

5° 

9.818  4614 
9.8184855 
9.828  5086 
9.828  5317 
9.828  5547 

*3i 
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131 
130 

22  I 

9.9598116 
9-959  8539 
9-959  8962 
9-959  93»4 
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4*3 
4*3 
411 

4*3 

421 

0.040  1884 
0.040  1461 
0.040  1038 
0.0400616 
0.040  0193 

9.868  6508 
9.868  6316 
9.868  6114 
9.868  5932 
9.868  5740 

191 
191 
191 
191 

IQl 

50 
40 
30 

IO 
10 

22 

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9.818  5778 

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9.960  0230 

417 

0.039  9770 

9.868  5548 

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38 

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10 

30 
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9.818  6009 
9.818  6140 
9.818  6471 
9.818  6701 
9.828  6931 

131 

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131 
130 

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9.9600653 
9.960  1076 
9.960  1499 
9.960  1922 
9,960  1345 

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0.0399347 
0.039  8924 
0.039  8501 
0/339  8078 
0.039  7655 

9.868  5356 
9.8685164 
9.868  4971 
9.868  4780 
9.868  4588 

192 
191 
191 
191 
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50 
40 
30 

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10 

28 

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9.8287163 

111 

9.960  1767 

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0.039  7*33 

9.868  4396 

IQl 

o 

37 

10 
10 

3° 
40 

5° 

9.828  7394 
9.828  7614 
9.828  7855 
9.828  8086 
9.8288316 

130 
131 
131 

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9.9603190 
9.9603613 
9.9604036 

9-9604459 
9.960  4882 

4*3 
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0.039  6810 
0.039  6387 
0.039  59^ 
0-039  554' 
0.039  5  "8 

9.868  4103 
9.8684011 
9.868  3819 
9.868  3617 
9.868  3435 

191 
191 
191 
191 
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50 
40 

30 

10 
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24 

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9.828  8547 

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9.960  5305 

422 

0.0394695 

9.868  3242 

IQl 

o 

36 

10 

10 

3° 
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5° 

9.828  8778 
9.828  9008 
9.828  9239 
9.828  9469 
9.828  9700 

230 
131 
130 
131 
130 

9.960  5717 
9.9606150 
9.960  6573 
9.960  6996 
9.960  7419 

4*3 
4*3 
4*3 
4*3 
4*3 

0.039  4273 
0.039  3850 
0.039  3427 
0.039  3004 
0.039  1581 

9.868  3050 
9.868  1858 
9.868  1665 
9.868  1413 
9.868  2281 

I91 
193 
191 
191 
193 

50 
40 
30 

IO 
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25 

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9.828  9930 

131 

9.960  7842 

411 

0.039  **58 

9.868  2088 

192 

o 

35 

IO 
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30 
40 
50 

9.829  0161 
9.829  0391 
9.829  0621 
9.829  0851 
9.829  1082 

130 
230 
131 
130 

9.960  8264 
9.960  8687 
9.9609110 
9.960  9533 
9.960  9956 

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4*3 
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d.22 

0.039  "736 
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0.039  0890 
0.039  0467 
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9.868  1896 
9.868  1704 
9.868  1511 
9.868  1319 
9.868  1116 

191 

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191 
193 
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50 

40 

30 

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26 

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9.829  1312 

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9.961  0378 

421 

0.038  9621 

9.868  0934 

IQl 

o 

34 

10 
20 

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40 
50 

9.829  1543 
9.829  1773 
9.819  1003 
9.829  2113 
9.829  2404 

130 
130 

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131 

9.961  0801 
9.961  1214 
9.961  1647 
9.961  1070 
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4.21 

0.038  9199 
0.038  8770 
0.038  8353 
0.038  7930 
0.038  7508 

9.868  0741 
9.868  0549 
9.8680356 
9.868  0164 
9.867  9971 

191 
193 
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40 
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10 

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27 

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9.829  2694 

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9.961  1915 

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0.038  7085 

9.867  9779 

IQl 

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33 

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30 
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9.829  1924 
9.8293154 
9.829  3384 
9.829  3614 
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130 
130 
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9.961  3338 
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9.961  4184 
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0.038  6662 
0.038  6230 
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9.867  9586 

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9.867  9101 
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193 
191 
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30 
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9.829  4305 
9  829  4535 
9.8294765 
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130 
130 
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9.961  5875 
9.961  6297 
9.961  6720 
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0.038  4115 
0.038  3703 
0.038  3180 
0.038  1857 
0.038  1434 

9.867  8430 
9.867  8137 
9.867  8045 
9.867  7851 
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193 
191 
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50 
40 

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29 

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9.829  5454 

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9.961  7988 

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9.829  5684 
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130 
230 
230 
130 
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9.961  8411 
9.961  8834 
9.961  9256 
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0.038  1589 

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0.037  9898 

9.867  7173 
9.867  7080 
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193 
191 
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30 

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9.8196833 

9.9620515 

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30 
31 
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36 
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38 
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50 
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20 

30 
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10 

20 

30 
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30 

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20 
30 
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9.829  6833 

130 
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129 
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230 

129 

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130 
129 
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229 
130 
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412 

0.019  6723 
0.019  6101 
0.019  5880 

0.019  5458 
0.019  5037 

9.859  0984 
9.859  0783 
9-859  0582 
9.8590381 
9.8590179 

101 
201 
201 
202 
1OI 

50 
40 

3° 

20 

10 

43 

o 

9.839  5363 

12O 

9.9805385 

421 

0.0194615 

9.858  9978 

1OI 

o 

17 

10 
20 

30 

40 
50 

9.839  5583 
9.839  5803 
9.8396023 
9.839  62*4 
9.839  6464 

110 
220 
111 

210 
22O 

9.9805806 
9.980  6228 
9.980  6650 
9.980  7071 
9.980  7493 

422 
422 
421 
421 

421 

0.019  4194 

0.019377* 
0.019  3350 

0.019  1929 
0.019  *5°7 

9.858  9777 
9-858  9575 
9-858  9374 
9.8580173 
9-858  8971 

101 
101 
101 
102 

2O1 

50 
40 
30 

20 

IO 

44 

o 

9.839  6684 

12O 

9.9807914 

422 

0.019  *°86 

9.858  8770 

2oa 

o 

16 

10 

to 

30 
40 
50 

9.839  6904 
9.839  7124 

9-839  7344 
9.839  7564 
9.839  7784 

120 
120 
220 

220 

220 

9.980  8336 
9.9808757 
9.980  9179 
9.9809600 

9.981  0021 

421 
422 
421 
421 
411 

0.019  1664 
0.019  XH3 
0.019  0821 
0.0190400 
0.01  8  9978 

9.858  8568 
9-858  8367 
9.858  8165 
9.8587964 
9.858  7762 

001 
101 
101 

101 

201 

50 

40 
30 

10 
IO 

45 

0 

9.839  8004 

22O 

9.981  0443 

421 

0.018  9557 

9.8587561 

102 

o 

15 

10 

10 

30 
40 
50 

9.839  8224 

9-839  8444 
9-|398664 

9-«39  8883 
9.839  9103 

210 
110 
119 
110 

21O 

9.98l  0865 
9.981  1286 
9.98l  1708 
9.981  2129 
9.981  2551 

421 

422 
411 

422 

421 

0.0180135 
0.018  8714 
0.018  8292 
0.018  7871 
0.018  7449 

9-858  7359 
9.858  7158 
9-858  6956 
9.8586754 
9.858  6553 

101 

102 
102 
101 
1O2 

50 
40 

30 

20 
10 

46 

o 

9.839  9313 

21O 

9.981  2972 

412 

0.018  7028 

9.8586351 

1O2 

O 

14 

IO 

xo 

30 
40 
50 

9  839  9543 
9-839  97*3 
9.839  9981 

9.840  O2O2 
9.840  0422 

110 

119 

no 

120 
21O 

9.981  3394 
9.981  3815 
9.981  4237 
9.981  4658 
9.981  5080 

421 
421 
411 
411 

AZI 

0.01  8  6606 
0.018  6185 
0.018  5763 
0.018  5342 

0.018  4910 

9.858  6140 
9.858  5948 
9-858  5746 
9.858  5544 
9.858  5342 

201 
201 
101 
101 
1OI 

50 

40 

3° 
10 
10 

47 

o 

9.8400642 

2IQ 

9.981  5501 

All 

o.o  1  8  4499 

9.858  5141 

1O1 

o 

13 

IO 

10 

30 

40 
50 

9.840  O86l 

9.840  1081 

9.840  I3OI 
9.840  I52O 
9.840  1740 

no 

110 
«9 
220 
210 

9.981  5923 
9-98i  6344 
9.981  6766 
9.981  7187 
9.981  7608 

411 

412 
421 
4« 

421 

0.018  4077 
0.018  3656 
0.018  3134 
0.018  1813 
0.018  2391 

9.858  4939 
9-858  4737 
9.8584535 
9.8S84333 
9.8584131 

102 
101 

201 
102 
2O1 

50 

40 
30 

20 

10 

48 

o 

9.840  1959 

12O 

9.981  8030 

421 

0.018  1970 

9.858  3919 

1OI 

o 

12 

IO 

20 

30 

40 

5° 

9.8402170 
9.840  2398 
9.8402618 
9.840  2837 
9.840  3057 

119 

12O 
119 
22O 
11Q 

9.981  8451 
9.981  8873 
9.981  9294 
9.981  9716 
9.9820137 

4" 
421 
422 
421 

422 

0.018  1549 
0.018  1117 
0.018  0706 
0.018  0284 
0.017  9863 

9.8583718 
9.8583526 
9.858  3324 
9.858  3111 
9.858  2910 

101 

102 
1O2 
201 
2O1 

50 
40 
30 

20 

IO 

49 

o 

9.840  3276 

12O 

9.9810559 

421 

0.0179441 

9.858  1718 

2O1 

0 

11 

10 

20 

30 
40 

50 

9.840  3496 
9.840  3715 

9.840  3935 
9.8404154 
9.8404373 

2I9 

220 
219 
219 
12O 

9.981  0980 
9.982  1401 
9.982  1823 
9.982  2245 
9.982  2666 

421 
421 
421 

4« 

421 

0.017  9010 
0.017  8598 
0.0178177 
0.017  7755 
0.017  7334 

9.858  1516 
9.858  1314 
9.8581111 
9.858  1909 
9.858  1707 

101 
10} 
101 
102 

lot 

50 
40 
30 

20 

to 

50 

o 

9.8404593 

9.981  3087 

0.017  69*3 

9.858  1505 

O 

10 

• 

H 

COK 

d. 

Cotg 

Ac. 

Tang 

Sin 

d. 

n 

i 

46C 


43< 


553 


1 

• 

Sin 

d. 

Tang 

d.c. 

Cotg 

Cos 

d. 

H 

1 

50 

o 

9.8404593 

2IO 

9.982  3087 

4.2.2 

0x317  69*3 

9.858  1505 

202 

O 

10 

10 
10 

30 
40 

9.8404812 
9.8405031 
9.840  5250 
9.840  5470 
9.840  5689 

2I9 
219 
210 
219 
lid 

9.982  3509 
9.982  3930 
9.9824352 
9.9824773 
9.982  5195 

421 

422 

4" 
422 

421 

0.017  6491 
0.017  6070 
0.017  5648 
0.017  5227 
0.017  4805 

9.858  1303 
9.858  ii  oi 

9.858  0696 
9.858  0494 

202 
202 
203 
202 
202 

50 
40 
30 

20 

10 

51 

o 

9.840  5908 

1IQ 

9.982  5616 

422 

0.017  4384 

9.858  0292 

202 

o 

9 

IO 

20 

30 

40 
5° 

9.8406127 
9.840  6346 
9.840  6565 
9.840  6785 
9.840  7004 

219 
219 

210 
219 
2IO 

9.982  6038 
9.982  6459 
9.982  6881 
9.982  7302 
9.982  7723 

421 
422 
421 
411 
422 

0.017  3961 
0.017  3541 
0.017  3119 

0.017  2^9° 
0.017  2277 

9.858  0090 
9.8579887 
9.857  9685 
9.857  9483 
9.857  9280 

203 
2O2 
202 
203 
2O2 

50 

40 

30 

20 

IO 

5?! 

o 

9.840  7223 

1IQ 

9.982  8145 

421 

0.017  1855 

9.857  9078 

2O2 

o 

8 

10 

20 

30 
40 

9.8407442 
9.840  7661 
9.840  7880 

9.840  8318 

1I9 
H9 
119 
1I9 

2IQ 

9.982  8566 
9.982  8988 
9.982  9409 
9.9829831 
9.983  0252 

422 

421 
421 
421 

0*17  1434 

0.017  1012 
O.OI7  0591 
0.017  Olk) 

o.o  1  6  9745 

9.857  8876 
9.857  8673 
9.857  8471 
9.857  8268 
9.857  8066 

203 
2O2 
203 
102 

2O3 

50 
40 

30 

20 

IO 

53 

o 

9.840  8537 

2IQ 

9.983  0673 

422 

0.016  9327 

9.857  7863 

201 

o 

7 

IO 

20 

3° 
40 

50 

9.840  8756 
9.840  8974 
9.8409193 
9.8409412 
9.8409631 

218 
219 
219 

2IQ 

9.983  1095 
9.983  1516 
9.983  1938 
9.983  2359 
9.983  2780 

421 

422 
421 

422 

0.016  8905 
0.016  8484 
0.016  8062 
0.016  7641 
0.016  7220 

9.857  7661 
9.857  7458 
9.857  7256 

9-857  7053 
9.8576851 

103 
202 
203 
102 
2O2 

50 
40 
30 

20 

IO 

54 

o 

9.840  9850 

ZIQ 

9.983  3202 

421 

0.016  6798 

9.857  6648 

2Ot 

o 

6 

IO 

20 

3° 
40 

5° 

9.841  0069 
9.841  0287 
9.841  0506 
9.841  0725 
9.841  0944 

218 
219 
219 

"2 
218 

9.983  3623 
9.983  4045 
9.983  4466 
9.983  4888 

9.983  5309 

411 
421 
422 
421 
421 

0,016  6377 
0.01  6  5955 
0.016  5534 
0.0165112 
0.0164691 

9.857  6445 
9.857  6243 
9.857  6040 
9.857  5837 
9-857  5635 

202 
203 
203 
202 
203 

50 
40 
30 

20 
IO 

55 

o 

9.841  1162 

219 

9-983  573° 

422 

0.0164270 

9-857  543* 

203 

O 

5 

IO 

20 

30 
40 
50 

9.841  1381 
9.841  1000 
9.841  1818 
9.841  2037 
9.841  2255 

"I 

Sli 

"I 
218 

214 

9.983  6152 
9.983  6573 

9  983  6995 
9.983  7416 

9-983  7837 

411 
422 
421 
421 

422 

o.o  j  6  3848 
0.01  6  3427 
O.OIb  3005 
0.016  2584 
0.016  2163 

9.857  5229 
9.857  5026 
9.857  4824 
9.857  4621 
9.8574418 

103 

2O2 
203 
203 
2OJ 

40 

2O 
IO 

56 

o 

9.841  2474 

Tl8 

9.983  8259 

421 

0.016  1741 

9.8574215 

1O1 

o 

4 

IO 

20 

30 
40 

5° 

9.841  2692 
9.841  2911 
9.841  3120 
9.841  3348 
9.841  3566 

210 

218 

"I 

Ml 

2IQ 

9.983  8680 
9.983  9102 
9.983  9523 

9.984  0366 

422 
421 
421 
422 

dll 

0.016  1320 
0.016  0898 
0.01  6  0477 
o.ci  6  0056 
0.015  9634 

9.8574012 
9.857  3800 
9.857  3606 
9.857  3404 
9.857  3201 

203 

203 
2O1 

50 
40 

30 

20 
IO 

57 

o 

9.841  3785 

9-984  0787 

411 

0.015  9"3 

9.857  2998 

2OJ 

0 

3 

IO 
20 
30 

40 

5° 

9.841  4003 
9.841  4221 
9.841  4440 
9.841  4658 
9.841  4877 

218 

110 

ait 

210 
218 

9.984  1208 
9.984  1630 
9.984  2051 
9.984  2473 
9.984  2894 

422 
421 
422 
421 

421 

0.015  8792 
0.015  8370 
0.015  7949 
0.015  75*7 
0.015  7IQ6 

9.857  2795 
9.857  2502 
9.857  2389 
9.857  2186 
9.857  1982 

203 
203 
103 
204 

2O1 

5° 
40 
30 
2O 
IO 

58 

o 

9.841  5095 

218 

9.9843315 

4.22 

0.015  6685 

9.857  1779 

2O1 

o 

2 

10 

20 

30 
40 

5° 

9.841  5313 
9.841  5531 
9.841  57<o 
9.841  5968 
9.841  6186 

218 

210 

ait 

218 

118 

9-984  3737 
9.9844158 
9.9844580 
9.984  5001 
9.984  5422 

421 
422 
42I 
421 
422 

0.015  6263 
0.015  5842 
0.015  5410 
0.015  4990 
0.0154578 

9.857  1576 

9-857  1373 
9.857  1170 
9.857  0967 
9.857  0764 

203 
203 
203 
203 
2OI 

50 
40 
30 

20 
10 

59 

o 

9.841  6404 

218 

9.984  5844 

421 

0.0154156 

9.857  0561 

2OA 

0 

1 

IO 

20 

3° 
40 

5° 

9.841  6622 
9.841  6840 
9.841  7059 
9.841  7277 
9.841  7495 

218 
219 
218 
218 
218 

9.984  6265 
9.984  6686 
9.984  7108 
9.984  7529 
9.984  7950 

421 
422 
421 
421 
4.22 

0.015  3735 
0.015  3314 
0.015  2892 
0.015  247Z 
o.oi  5  2050 

9.857  0357 
9.857  0154 
9.8569951 
9.856  9748 
9.856  9544 

203 
203 

*°3 
204 

50 
40 
30 
2O 
10 

60 

o 

9.841.7713 

9.9848372 

0.015  x^28 

9.856  9341 

o 

0 

' 

H 

Cos 

d. 

Cotg 

d.c. 

Tang 

Sin 

d. 

It 

' 

46C 


554 


44< 


422 

4».» 

84.4 
126.6 
168.8 


7  »95.4 

8  337.6 

9  379.8 


421 

i    4».i 
a    84.3 

3  "6.3 

4  168.4 
i  3io.  5 

6  353.6 

7  »94.7 

8  336.8 

9  378.5 


218 

ai.8 
43-6 
6S.4 
87.a 


109.0 
130.8 

1153.6 

174.4 

196.1 


217 

i|  *'.7 
43-4 
65.1 
86.8 
108.5 


173.6 


208 

30.3 
40.6 
60.9 

81.7 
101.5 

21. 8 

43.1 

162.4 
182.7 


204 

>0.4 
4».8 
6i.x 
81.6 

107.0 

iaa.4 
I4».8 
163.1 


9  183.6 


1 

H 

Sin 

d. 

Tang 

d.c. 

Cotg 

Cos 

d. 

n 

t 

0 

O 

9.841  7713 

118 

9-984  837* 

411 

0.015  1628 

9.856  9341 

o 

60 

IO 

10 

30 
40 

5° 

9.841  793' 
9.841  8149 
9.841  8367 
9.841  8585 
9.841  8803 

218 
218 
218 
118 
lift 

9.984  8793 
9.9849215 
9.984  9636 
9.985  0057 
9.985  0479 

422 
421 
411 
411 

All 

0.015  1207 
0.015  °785 
0.015  O3&4 
0.014  9943 
0.014  95" 

9.856  9138 
9.856  8934 
9.8568731 
9.856  8517 
9.856  8324 

204 
203 
204 
203 

5° 
40 
30 

20 
10 

1 

o 

9.841  9011 

117 

9.985  0900 

All 

0.0149100 

9.856  8121 

0 

59 

IO 

20 

3«> 

40 

50 

9.841  9238 
9.841  9456 
9.841  9674 
9.841  9892 
9.8410110 

118 
118 
118 

118 
118 

9-985  »3« 
9-985  1743 
9.985  2164 
9.985  2585 
9.985  3007 

422 
421 
421 
421 
421 

0.014  8679 
0.014  8257 
0.014  7836 
0.014  7415 
0.014  6993 

9.856  7917 
9.856  7714 
9.8567510 
9.856  7307 
9.856  7103 

203 
204 
203 
204 

50 
40 

30 

10 
10 

2 

O 

9.8420328 

117 

9.9853428 

421 

0.014  6571 

9.856  6900 

203 

o 

58 

10 

20 

30 
40 
50 

9.8420545 
9.842  0763 
9.842  0981 
9.8411190 
9.841  1416 

118 

118 
118 

"Z 

Ml 

9-985  3849 
9.985  4271 

9-985  4691 
9.985  5113 

9-985  5535 

412 
421 
411 

421 
4.21 

0.0146151 
0.014  5710 
0.014  5108 
0.014  4887 
0.014  44^5 

9.856  6696 
9.856  6492 
9.856  6289 
9.856  6085 
9.856  5881 

204 
203 
204 
204 

50 
40 
30 

20 
IO 

3 

0 

9.841  1634 

118 

9.985  5956 

421 

0.014  4°44 

9.856  5678 

203 

O 

57 

10 
IO 

3° 
40 

5° 

9.841  1851 
9.841  1069 
9.842  2287 
9.841  1504 
9.842  1722 

"Z 

Ml 

"Z 
218 

217 

9.985  6377 
9.985  6799 
9.985  7220 
9.985  7641 
9-985  8063 

412 
421 
411 
422 

441 

0.014  36»3 
0.014  3101 
0.014  ^780 
0.014  *359 
0.014  »937 

9.856  5474 
9.856  5270 
9.856  5067 
9.856  4863 
9.8564659 

204 
203 
204 
204 

5° 
40 
30 
20 
IO 

4 

0 

9.842  2939 

ii  8 

9.985  8484 

421 

0.014  1516 

9.856  4455 

O 

56 

IO 

20 
30 
40 

5° 

9.8423157 
9.842  3374 
9.842  3592 
9.842  3809 
9.841  4027 

"Z 
118 

"Z 

218 
117 

9.985  8905 
9.985  9317 
9.985  9748 
9.9860169 
9.986  0591 

422 
411 
421 
421 
421 

0.014  1095 
0.014  o()73 
0.0140252 
0*139831 
0.013  94°9 

9.8564251 
9.856  4048 
9.856  3844 
9.856  3640 
9.856  3436 

203 
204 
204 
204 
204 

2OA 

50 
40 

3° 
4O 
10 

5 

0 

9.8424144 

nS 

9.986  ion 

421 

0.013  8988 

9-856  3232 

O 

55 

IO 

20 

30 
40 
50 

9.842  4462 
9.8424679 
9.841  4896 
9.8415114 
9.8425331 

"Z 

Ml 

117 

117 

9.986  1433 
9.986  1855 
9.986  2276 
9.986  2697 
9.9863119 

411 
421 
411 
422 
421 

0.013  8567 
0.013  8145 
0.013  77»4 
0.013  7303 
0.013  688j 

9.856  3028 
9.856  2824 
9.856  2620 
9.856  1416 

9.856  2212 

204 
204 
204 
204 

5° 
40 

3° 
20 
xo 

6 

o 

9.842  5548 

117 

9.986  3540 

421 

0.013  646° 

9.856  2008 

204 

o 

54 

10 

20 

30 
40 
50 

9.842  5765 
9.842  5983 
9.842  6200 
9.842  6417 
9.842  6634 

us 

117 
117 
117 

117 

9.986  3961 
9.986  4383 
9.986  4804 
9.986  5225 

9.986  5646 

412 
421 
421 
421 

All 

0.013  6039 
0.013  5617 
0.013  5x96 
0.013  4775 
0.0134354 

9.856  1804 
9.856  1600 
9.856  1396 
9.856  1102 
9.856  0988 

204 
204 

204 
204 

1O4 

50 
40 
30 

20 

TO 

7 

o 

9.8426851 

718 

9.986  6068 

0.013  3932 

9.856  0784 

1O4 

O 

53 

10 
10 

30 
40 

5° 

9.842  7069 
9.842  7286 
9.842  7503 
9.842  7720 
9.842  7937 

«7 
117 
117 
117 

117 

9.986  6489 
9.986  6910 
9.986  7332 
9.986  7753 
9.986  8174 

421 
422 
421 
42I 

42.1 

0.013  3511 
0.013  3090 
0.013  2668 
0.013  Z147 
0.013  1826 

9.856  0580 
9.856  0375 
9.8560171 
9.855  9967 
9-855  97^3 

205 
204 
204 
204 
20  ^ 

50 
40 

30 
2O 
IO 

8 

o 

9.842  8154 

117 

9.986  8596 

421 

0.013  1404 

9.855  9558 

2OA 

o 

52 

to 

IO 

30 
40 

5° 

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9.845  9188 

114 

9.9919251 

422 

0.007  0749 

9.852  9936 

*°7 

o 

28 

IO 

20 

30 
40 

5° 

9.845  9401 
9.845  9616 

9-845  983° 
9.846  0043 
9.846  0157 

114 
214 
213 
114 
114 

9.991  9673 

9-993  o°94 
9.9930515 
9.993  0936 
9-993  »357 

421 
421 
421 
411 
411 

0.0070327 
0.006  9906 
0.0069485 
0.0069064 
0.006  8643 

9.852  9729 
9.8519521 
9.8519315 
9.8519107 
9.851  8900 

107 

107 
108 
107 
107 

50 

40 
30 

20 
10 

33 

o 

9.8460471 

114 

9-993  *778 

0.006  8222 

9.851  8693 

1O7 

O 

27 

IO 

10 

30 
40 
50 

9.846  0685 
9.846  0899 
9.846  1113 
9.846  13x7 
9.846  1540 

114 
214 
114 
213 
114 

9.993  iioo 
9.993  1611 
9-993  3°4* 
9-993  34^3 
9  993  3884 

411 
421 
411 
411 
421 

0.0067800 
0.006  7379 
0.006  6958 
0.006  6537 
0.0066116 

9.852  8486 
9.851  8178 
9.851  8071 
9.851  786* 
9.851  7656 

108 
207 
107 
K>8 
107 

50 

40 
30 

20 
10 

34 

o 

9.846  1754 

114 

9-993  43°5 

A  2  1 

0.006  5695 

9.851  7449 

1O7 

0 

26 

IO 

to 

30 
40 

50 

9.846  1968 
9.846  1182 
9.846  1395 
9.846  1609 
9.846  1823 

114 
113 
114 
114 
113 

9-993  47*6 
9-993  5*48 
9-993  5569 
9.993  5990 
9.9936411 

411 
4H 
421 
421 
411 

0.006  5174 
0.006  4851 
0.0064431 
0.006  4010 
0.006  3589 

9.851  7141 
9.852  7034 
9.851  6827 
9.852  6619 
9.851  6412 

108 

3 

a 

50 
40 
30 
20 
IO 

35 

o 

9.846  3036 

»4 

9.993  6832 

411 

0.006  3168 

9.852  6204 

*°7 

O 

25 

10 
10 

30 
40 
50 

9.846  3150 
9.846  3464 
9.846  3677 
9.846  3891 
9.846  4104 

114 

»i3 
114 

"3 

214 

9-993  7*53 
9-993  7674 
9.993  8096 
9-993  851? 
9-993  8938 

4« 
412 
411 
411 

6.11 

0.006  1747 
0.006  1326 
0.006  1904 
0.006  1483 
0.006  1062 

9.852  5997 

9.8525789 
9.851  5581 

9.8515106 

log 

*°z 

sol 

108 

107 

5° 
40 

30 

10 
IO 

36 

o 

9.84643*8 

211 

9  993  9359 

0.006  0641 

9.851  4959 

108 

o 

24 

10 
IO 

3° 
40 

50 

9.8464531 
9.846  4745 

9.8464958 
9.846  5171 

9.8465385 

114 
1I3 

«4 

«3 

114 

9-993  978o 
9.9940101 
9.9940613 
9.9941044 
9.994  1465 

411 

411 

4»l 

4*1 
AH 

0.006  oiio 

0-0059799 
0.005  0377 
0.005  8956 
0-005  8535 

9.8524751 
9.8524543 
9.8524336 
9.8524128 
9.852  3920 

108 

107 
108 
108 
1O7 

50 

40 
30 
20 

10 

37 

o 

9.846  5599 

iii 

9.994  1886 

All 

0.005  8114 

9.852  3713 

108 

o 

23 

IO 

00 

3° 
40 
5° 

9.846  5811 
9.846  6025 
9.8466139 

9.846  6665 

»'3 

*»4 
113 

«3 
114 

9-994  *307 
9.994  1718 
9-994  3»49 
9-994357* 
9-994  399« 

411 
411 
411 
411 
All 

0.005  7693 
0.005  7*7* 
0.005  6851 
0.005  6419 
0.005  6°°8 

9.852  3505 
9.852  3107 
9.851  3089 
9.851  2881 
9.851  2674 

108 
108 
108 

*°z 

108 

50 
40 

JO 
IO 
IO 

38 

O 

9.846  6879 

111 

9-99444I3 

All 

0.005  5587 

9.852  2466 

108 

0 

22 

IO 

10 

30 
40 
50 

9.846  7091 
9.846  7305 
9.8467518 
9.846  7731 
9.846  7945 

113 
113 
213 
114 
lit 

9.9944834 
99945*55 
9-994  5*7* 
9.994  6097 
9.9946518 

411 
411 
411 
411 
Aftl 

0x05  5166 
0.005  4745 
0x3054314 
0.005  3903 
0.005  3481 

9.851  1158 
9.851  2050 
9.852  1841 
9.851  1634 
9.852  1426 

108 
208 
108 
108 

108 

5° 
40 
30 
20 

10 

39 

o 

9.8468158 

lit 

9.9946940 

0.005  3°6o 

9.852  1218 

108 

o 

21 

10 
10 

30 
40 
50 

9.846  8371 
9.846  8584 
9.846  8797 
9.846  9010 
9.846  9213 

213 
113 
113 
113 
Ht 

9-994736i 
9.994  7781 
99948103 
9.994  8614 
9.9949045 

411 
411 

4*1 
411 

4.11 

0.005  1639 
0.005  1118 
0.005  »797 
0.005  1376 
0.005  0955 

9.852  1010 
9.8510801 
9.851  0594 
9.851  0386 
9.8510178 

<o8 

108 
208 
108 

108 

50 
40 

3° 

10 
40 

40 

o 

9.846  9436 

9.9949466 

0.005  0534 

9.851  9970 

O 

20 

i 

II 

Cos 

d. 

Cotg 

d.c. 

Tang 

Sin 

d. 

H 

• 

45< 


558 


44C 


422 

4».« 

84.4 

126.6 
168.8 

211. 0 

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337.6 


9  379-8 


421 

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a    84  a 

3  "»6-3 

4  168.4 

5  «o-5 

6  aja.6 

7  394.7 

8  336.8 

9  378.9 


218 

31.3 


63.9 
85.3 

106.5 

127.8 

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212 


63.6 
84.8 
106.0 

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8  169.6 

9190.8 


208 

20.8 

41.6 
6a.4 
83.» 

104.0 
124.8 
I4S.6 
166.4 
187.8 


209 
30.9 
4«.8 


6a.7 
83.6 
104.5 
ias.4 
146.3 
(67.1 
188.1 


1 

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Sin 

d 

Tang 

d.  c. 

Cotg 

Cos 

d. 

H 

1 

40 

o 

9.8469436 

117 

3-994  9466 

411 

0.005  0534 

9.8519970 

108 

O 

20 

IO 

20 

30 
40 
50 

9.846  9649 
9.846  9862 
9.847  0075 
9.847  0288 
9.8470501 

213 
213 
213 
213 

211 

9.994  9888 
9-995  0309 
9-995  0730 
9.995  1151 
9-995  »572 

421 
421 
421 
421 

421 

O.OO5  Oil  2 
0.0049691 
0.004  9270 
0.004  8849 
O.OO4  8428 

9.851  9762 

9-85  «  9554 

9.8519345 
9.851  9137 
9.851  8929 

208 

208 
208 

5° 
40 
30 
2O 
IO 

41 

o 

9-847  °7*4 

211 

9-995  »993 

421 

O.O04  8007 

9.851  8721 

208 

o 

19 

10 
20 
30 
40 
50 

9.847  0927 
9.847  1140 
9.847  1353 
9.847  1565 
9.847  1778 

213 

213 
212 
213 
211 

9-995  2414 
9-995  2835 
9.995  3257 

9-995  3678 
9-995  4099 

421 
422 
421 
421 
421 

0.0047586 
0.0047165 
0.004  6743 
O.OO4  6322 

0.004  5901 

9.851  8513 
9.851  8304 

9.851  8096 
9.851  7888 
9.8517679 

209 

208 
208 

5° 
40 

30 

20 
IO 

42 

O 

9.847  1991 

211 

9.995  4520 

421 

0.004  548o 

9.851  7471 

2O8 

O 

18 

10 

20 

30 
40 

50 

9.847  2204 
9.847  24l6 
9.847  2629 
9.847  2842 
9.847  3055 

212 
213 

"3 
213 
212 

9-9954941 
9  995  5362 
9-995  5783 
9.995  6204 
9.995  6626 

421 
421 
421 
422 

421 

0.004  5059 
0.004  4638 
0.0044217 
0.004  3796 
0.004  3374 

9.851  7263 
9.8517054 
9.851  6846 
9.8516637 
9.851  6429 

2OS 
2OQ 
208 

2OQ 

5° 
40 
30 

20 
10 

43 

0 

9.847  3267 

211 

9-995  7047 

421 

0.004  2953 

9.851  6220 

208 

O 

IV 

10 

20 

30 
40 

5° 

9.847  3480 
9.847  3692 

9.847  39o«; 
9.8474110- 
9-847  433° 

212 
213 
213 
212 
211 

9-995  7468 
9-995  7889 
9.995  8310 

9-995  8731 
9-995  9152 

421 
421 
421 
421 
421 

0.004  2532 

O.OO4  21  1  1 
0.004  1690 

0.004  I2^9 
0.004  0848 

9.851  6012 

9.851  5803 

9-851  5595 
9.851  5386 
9.851  5178 

2O9 
208 
200 
2O8 
2OQ 

5° 
40 
30 

20 
10 

44 

o 

9-847  4543 

212 

9-995  9573 

422 

0.004  0427 

9.851  4969 

2O8 

0 

16 

IO 

20 

30 
40 
50 

9.847  4968 
9.847  5180 

9.f47  5393 
9.847  5605 

213 
212 
213 
2X2 
212 

9-995  9995 
9.9960416 
9.9960837 
9.996  1258 
9.996  1679 

421 
42I 
421 
421 
421 

0.0040005 
0.003  9584 
0.003  0163 
0.003  8742 
0.003  8321 

9.8514761 
9.851  4552 

9-85  M343 
9.8514135 
9.851  3926 

209 
209 
208 

209 
209 

50 
40 

30 
20 
IO 

45 

o 

9.847  5817 

"1 

9.996  2100 

411 

0.003  7900 

9-85I37I7 

208 

O 

15 

10 

20 

30 
40 

50 

9.847  6030 
9.847  6242 
9.847  6455 
9.847  6667 
9.847  6879 

212 
213 
212 
212 

212 

9.996  2521 

9.996  2942 

9-996  3364 
9-996  378$ 
9.996  4206 

4X1 
422 
411 
421 
421 

0.003  7479 
0.003  7058 
0.003  6636 
0.003  6215 
0.003  5794 

9.851  3509 
9.851  3300 
9.851  3091 
9.851  2882 
9.851  2673 

209 

209 

209 

2OQ 
208 

5° 
40 

30 
20 

IO 

46 

o 

9.847  7091 

211 

9.996  4627 

421 

0.003  5373 

9.8512465 

2OQ 

o 

14 

IO 
20 

3° 
40 

50 

9-847  73°4 
9.847  7516 
9.847  7728 
9.847  7940 
9,847  8153 

212 
212 
212 
213 
212 

9.996  5048 
9.996  5469 
9.996  5890 

9.9966311 

9.996  6732 

42X 

421 
421 
421 

0.003  4952 
0-003  4531 
0.003  41  10 
0.003  3689 
0.003  3268 

9.851  2256 
9.851  2047 
9.851  1838 
9.851  1629 
9.851  1420 

209 
209 
209 
209 
2OQ 

50 

40 
30 

20 
10 

47 

O 

9-847  8365 

212 

9.996  7154 

421 

0.003  2846 

9.851  I2II 

2O9 

O 

13 

IO 
20 
30 
40 
50 

9.847  8577 
9.847  8789 
9.847  9001 
9.8479213 
9.847  9425 

212 
212 
212 
212 
212 

9.996  7575 
9.996  7996 
9.996  8417 
9.996  8838 
9.996  9259 

421 
421 
421 
421 
421 

0.003  2425 
0.003  1OO4 
0003  1583 
0.003  1162 
0.003  0741 

9.851  1002 
9.8510793 
9.851  0584 
9.8510375 
9.851  Ol66 

209 
209 
209 
209 
2OQ 

50 
40 
30 
2O 
10 

48 

O 

9.847  9637 

212 

9.996  9680 

421 

0.003  0320 

9.8509957 

2OQ 

o 

12 

IO 
20 
30 

9.847  9849 
9.8480061 
9.848  0273 
9.848  0485 
9.848  0697 

212 
212 
212 
212 
212 

9.997  oiox 

9.9970523 

9-997  0944 
9-997  1305 
9-997  1786 

422 
421 
421 

42X 

O.OO2  9899 

0.002  9477 

0.002  9056 
0.002  8635 
0002  8214 

9.8509748 
9.8509539 
9.8509330 
9.85OQI2O 
9.8508911 

2O9 
209 
210 
209 

2OQ 

50 
40 
30 

20 
IO 

49 

O 

9.8480909 

212 

9.997  2207 

0.002  7793 

9.8508702 

2OQ 

O 

11 

IO 

20 

30 
40 
50 

9.848  1  121 
9.848  1333 
9.848  1545 
9.848  1756 
9.848  1968 

212 
212 
211 
2X2 
212 

9.997  l6*8 
9-997  3049 
9-997  3470 
9-997  3891 
9-99743^3 

421 
421 
421 
422 

O.OO2  7372 

0.0026951 

0.002  6530 
0.002  6lO9 
O.002  5687 

9.850  8403 
9.850  8284 
9.850  8074 
9.850  7865 
9.850  7656 

209 
210 
209 
209 

2IO 

5° 
40 

30 
20 

10 

50 

0 

9.848  2l8o 

9-997  4734 

O.OO2  5266 

9.850  7446 

o 

10 

' 

M 

Cos 

d. 

Cotg 

d.0. 

Tang 

Sin 

d. 

H 

• 

45* 


44C 


559 


1 

a 

Sin 

d. 

Tang 

Ac. 

Cotg 

Cos 

d. 

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t 

50 

o 

9.848  2180 

212 

9-997  4734 

dll 

O.OO2  5266 

9.850  7446 

2OQ 

o 

10 

10 

20 

30 
40 

<»o 

9.848  2392 
9.848  2604 
9.8482815 
9.848  3027 
9.848  3239 

212 
211 
212 
212 
211 

9-9975'SS 
9.997  5576 

9-997  5997 
9.997  6418 
9  997  6839 

4" 
421 
421 
4« 

4.11 

0.0024845 

o.ooi  4424 

O.002  4003 
O.OO2  3582 

o.ooi  3161 

9.8507237 

9.850  7028 
9.8506818 
9.850  6609 
9.850  6400 

209 

210 

209 

209 
no 

50 
40 
30 

20 

IO 

51 

o 

7.848  3450 

212 

9.997  7260 

411 

O.OO2  2740 

9.8506190 

2OQ 

o 

9 

10 

20 

30 
40 

So 

9.848  3662 
9.848  3874 
9.848  4085 
9.848  4297 
9.848  4508 

212 
211 
212 
211 
212 

9-997  768i 
9.997  8103 
9-997  »5H 
9-997  8945 
9-997  9366 

422 
421 

4" 
421 

dll 

o.ooi  2319 

0.002  1897 
O.OO2  1476 
O.002  IO55 

o.ooi  0634 

9.850  5981 

9.8505771 
9.8505562 
9.850  £352 
9.8505143 

210 

209 

2IO 

209 

2IO 

50 

40 

30 

20 

IO 

52 

o 

9.848  4720 

ill 

9-997  9787 

All 

0.0020213 

9.8504933 

2IO 

o 

8 

10 

20 

30 
40 

S° 

9.8484931 
9.848  5143 
9.848  5354 
9.848  5566 
9.848  5777 

212 
211 
212 
211 
212 

9.998  0208 
9.998  0629 
9.998  1050 
9.998  1471 
9.998  1892 

4« 
421 

4" 
4" 

dll 

0.001  9792 
0.001  9371 
o.ooi  8950 
0.001  8520 

O.OOI  8lOS 

9.8504723 
9.8504514 
9.8504304 

9.850  3885 

209 

210 

209 

2IO 
2IO 

50 
40 
30 

10 
10 

53 

o 

9.848  5989 

211 

9-998  *3'4 

d.11 

o.ooi  7686 

9.850  3675 

2OQ 

o 

7 

IO 

20 

30 
40 

SO 

9.848  6200 
9.848  6412 
9.848  6623 
9.848  6834 
9.848  7046 

212 
211 
211 
212 
211 

9.998  a735 
9-998  3156 
9.998  3577 
9-998  3998 
9-998  4419 

4*1 
4*i 
4« 
421 

All 

0.001  7265 
o.ooi  6844 
o.ooi  6423 
o.ooi  6002 
o.ooi  5581 

9.850  3466 

9.850  3256 

9.850  3046 
9.850  2836 

9.850  2626 

210 
210 
210 
2IO 
2OQ 

50 
40 
30 

20 

IO 

54 

o 

9.848  7257 

211 

9.998  4840 

o.ooi  5160 

9.8502417 

2IO 

o 

6 

IO 

20 

30 
40 

50 

9.848  7468 
9.848  7679 
9.848  7891 
9.848  8102 
9.8488313 

211 
212 
211 
211 
211 

9.998  5261 
9.998  5682 
9.998  6104 
9.998  6525 

9.998  6946 

4*i 

4** 
4" 
4« 
4*1 

o.ooi  4730 
0.001  4318 
o.ooi  3896 
0.001  3475 
o.ooi  3054 

9.850  2207 

9.850  1787 
9.850  1577 
9.8501367 

210 

aio 
aio 
aio 

210 

50 
40 
30 

20 
IO 

55 

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9.848  8524 

211 

9.998  7367 

421 

o.ooi  2633 

9.8501157 

aio 

o 

5 

IO 
20 
30 
40 
50 

9.848  8735 
9.848  8947 
9.8489158 
9.848  9369 
9.848  9580 

212 
HI 
211 
til 
III 

9.998  7788 
9.998  8209 
9.998  8630 
9.9989051 
9.998  9472 

4*1 
4*1 
4" 
4*1 

O.OOI  2212 

o.ooi  1791 
0.001  1370 
o.ooi  0949 
o.ooi  0528 

9.8500947 
9.8500737 

9.8500527 

9.8500317 

9.8500107 

210 
210 
210 

aio 
aio 

50 
40 
30 

20 
10 

56 

0 

9.848  9791 

an 

9.998  9893 

o.ooi  0107 

9.849  9897 

aio 

0 

4 

10 

20 

30 
40 
50 

9.849  0002 
9.8490213 
9.849  04H 
9.8490635 
9.849  0846 

in 

211 

an 
an 
an 

9.9990315 
9-999  0736 
9-999  "57 
9-999  1578 
9.999  1999 

4*i 
4*1 
4« 
4*1 

0.000  9685 
o.ooo  9264 
o.ooo  8843 
o.ooo  8422 
o.ooo  8001 

9.8499687 

9.849  9477 

9.849  9267 
9.849  9057 

9.849  8847 

aio 
aio 
aio 

210 
2IO 

50 
40 
30 

20 

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57 

0 

9.849  1057 

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9.999  2410 

0.0007580 

9.849  8637 

an 

o 

3 

IO 

20 

3° 
40 

50 

9.8491268 
9.849  1479 
9.849  1689 
9.849  1900 

9.849  1III 

211 

210 

an 

211 

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9.999  2841 
9.999  3262 
9.999  3683 
9-999  4105 
9.9994526 

4*1 

4*1 
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421 

0.000  7159 
o.ooo  6738 
0.0006317 
o.ooo  5895 

0.0005474 

9.849  8426 

9.849  8216 
9.849  8006 

9.849  7796 
9.849  7585 

210 
210 
210 

III 

2IO 

50 
40 

3° 

20 
IO 

58 

O 

9.849  2322 

211 

9-999  4947 

o.ooo  5053 

9-849  7375 

2IO 

o 

2 

IO 

20 

30 
40 
50 

9.849  2533 
9.849  2743 
9.849  2954 
9.849  3165 
9.849  3376 

2IO 
211 
211 

an 

aio 

9-999  53^8 
9-999  5789 
9.999  6210 

9-999  6631 
9-999  705* 

4« 
4*i 
421 

4*1 

dii 

o.ooo  4632 
0.0004211 
0.000  3790 
o.ooo  3369 
o.ooo  2948 

9.8497165 
9.849  6955 
9.849  6744 

9  849  6534 

9.849  6323 

aio 

211 

aio 

211 

2IO 

50 
40 
30 

ao 

IO 

59 

o 

9.849  3586 

an 

9  999  7473 

0.000  1527 

9.849  6113 

aio 

o 

1 

IO 

20 

30 
40 
50 

9-849  3797 
9.8494008 
9.849  4218 
9.849  4429 
9.849  4639 

an 

210 

an 
aio 
an 

9-999  7894 
9.9998316 

9-999  8737 
9.9999158 

9-999  9579 

4** 
4*1 
4*1 
4*1 

«11I 

o.ooo  2106 
o.ooo  1684 
o.ooo  1263 
0.0000842 
o.ooo  0421 

9.849  5903 

9.849  5602 

9.849  5482 
9.849  5271 

9.849  5061 

211 

210 

an 

2IO 
211 

50 
40 
30 

20 

IO 

60 

o 

9.849  4850 

o.ooooooo 

C.  000  0000 

9.849  4850 

o 

0 

i 

H 

Cos 

d. 

Cotg 

d.c. 

Tang 

Sin 

d. 

" 

• 

422 

4».» 

84.4 

126.6 

1  68.8 


.         . 

8  337.6 

9  379-8 


421 

I    4».i 

a    84.2 

3  "6-3 

4  168.4 

5  2i°.S 

6  252.6 

7  »94  7 

8  336.8 

9  378.9 


212 
ax. a 

4».4 
63.6 
84.8 


106.0 
127. » 
148.4 
169.6 
190.8 


211 
ai.i 

4*. 2 
63.3 
84.4 
105.5 

1*6.6 

147-7 

168.8 
189.9 


210 

91.0 

43.0 
63.0 
84.0 
IOS.O 
126.0 
147.0 

168.0 
189.0 


209 

K>.9 

41.8 
6a.7 
83.6 


167.2 

1 88. i 


45' 


560       FOR  THE  REDUCTION  OF  ARCS  INTO  HOURS,  MINUTES  AND  SECONDS. 


DEOBKK8 

MI.NTTES 

SECONDS 

0 

h  m 

O  0 

60 

h  m 
4  0 

o 
110 

8*0" 

I  HO 

h  m 

12  O 

140 

h  m 
16  o 

300 

h  m 
20  o 

0 

m  s 

0  0 

0 

s 
o.oo 

I 

3 

4 

i 
I 

_9_ 

IO 

IT 

12 

«4 

li 

ll 

20 

o  4 
o  8 

O  12 

o  16 
o  20 
o  24 

028 

032 

036 

040 

61 
62 
63 
64 

65 

66 

67 
68 
69 

4  4 
4  8 
41* 
4  16 
420 
4*4 
428 

432 
436 

III 
111 
123 
124 

"Z 
128 

129 

8  4 
8  8 
812 
816 
820 
814 

828 
832 
836 

181 
1  81 
183 
184 
185 
186 
187 
188 
189 

"  1 

12  8 
12  11 

ii  16 

IX  10 

11  14 

1128 
1132 

12  36 

241 
242 
*43 
*44 
*45 
246 

*47 
248 
249 

16  4 
16  8 
16  ii 
1616 
16  20 
16  24 
1628 
16  31 
1636 

302 
3°3 
304 

]o6 

307 
308 
309 

20  4 
10  8 
20  ii 
20  16 
20  20 
2024 
2028 
1032 
2036 

I 

2 

3 

4 

i 
I 

9 

0  1 
'0  8 

0  12 

o  16 

020 
O14 
Ol8 

036 

I 

1 
3 
4 

i 

5 

9 

0.07 

0.13 

0.2O 
0.27 
0-33 
040 
047 

0.53 
0.60 

7° 

7* 
73 
74 
75 
76 

n 

78 
79 

440 

'3° 
131 
132 
'33 
'34 

III 
'39 

840 

190 

12  40 

*SQ 

252 
*53 
*54 

156 

*57 
258 
259 

16  40 

310 

2040 

IO 

n 

12 

'3 
'4 
'5 
16 

ll 

'9 

040 

IO 

0.67 

044 
048 
052 

o  56 
o 

4 
8 

12 

16 

444 
448 
45* 
456 

C  Q 

5  4 
5  8 

5" 

516 

844 
848 
851 
856 
9  o 
9  4 
9  8 
912 
9  16 

191 
192 
'93 
194 

'95 
196 

'97 
198 

'99 

1244 
1248 
1252 
12  56 

'3  o 
'3  4 
13  8 
1312 
13  16 

1644 
1648 
16  52 
1656 
17  o 
'7  4 
17  8 

17  12 

17  16 

3" 
312 

3'3 
3'4 
3'5 
316 

317 
3'8 
3'9 

2044 
2048 
2052 
2056 

21  O 
21  4 
21  8 
21  12 
11  16 

044 
048 
051 
056 

X  O 

»  4 
i  8 
i  ii 
116 

n 

12 
13 

'4 

11 

;; 

'9 

0.80 
0.87 

0.93 

1.  00 

1.07 
1.13 

1.20 
I.iy 

I  20 

80 

520 

140 

9  20 

200 

13  20 

260 

17  20 

320 

IT  2O 

20 

i  20 

20 

'•33 

21 
22 

*3 

*4 
25 
26 

27 

23L 
12. 

3* 
33 
34 

ll 

37 
39 

1*4 
128 
132 

136 
i  40 
'44 
148 

'5* 
156 

81 
82 
83 
84 

ll 

ii 

ji 
90 

5*4 
5*8 
53* 
536 
540 
544 
548 

55A 

556 

141 
142 
'43 
'44 
'45 
146 

'47 
'49 

924 
928 
93* 

936 
940 

944 
948 
952 
956 

IO  O 

201 
2O2 
203 
2O4 
205 
206 
207 
208 

*°9 

2IO 
211 

212 
213 
214 
115 
116 

217 

218 

219 

'3*4 
1328 

'33* 
'336 
'34° 
'344 
1348 
1352 

14  o 

261 
262 
263 
264 
265 
266 
267 
268 
269 
270" 

1724 
17  28 

'73* 
1736 
1740 
'744 
1748 

'75* 
1756 

321 

322 
3*3 

3*4 

316 
327 
318 
3*9 
331 
331 
33* 
333 
334 
335 
336 

337 
338 
339 

11  14 
2Il8 
21  32 

11  36 
21  40 
2144 
2148 
11  fl 
21  56 
12  O 

**  4 

12  8 
22  12 
22  l6 
22  2O 
22  24 
2228 
21  31 
22  36 

21 
21 
23 

*4 

*5 
26 

*7 
28 

*9 

124 
128 
132 

136 
i  40 

'44 
148 

21 

22 
*3 

*4 
*5 
26 

ll 

29 

140 
'•47 
'•53 
i.  60 
1.67 
'•73 
1.80 
1.87 
'•93 

1  0 

6  o 

'5* 
»53 
'54 

I5i 

156 

15Z 
158 

'59 

18  o 

30 

2  O 

30 

31 

3* 
33 
34 

38 
39 

2.00 

2  8 
2  12 

216 

2  2O 
224 
228 
232 
236 

92 

93 
94 

9Z 
98 

99 

6  4 
6  8 
612 

616 

6  20 

624 
628 
632 
636 

10  4 
10  8 

IO  12 

10  16 

IO  2O 

1024 
1028 
10  32 
10  36 

14  4 
14  8 

14  12 

14  16 
14  20 
1414 

1428 

'43* 
1436 

271 
272 
273 
274 
275 
276 

277 
279 

18  4 
18  8 
18  12 
1816 
1820 
1824 
1828 
1832 
1836 

3» 

3* 
33 
34 

36 

n 

39 

i  4 

2  8 
1  12 

216 

22O 
224 
118 

*3* 

136 

1.07 
2.13 

2.2O 
2.27 
2.33 
240 
2.47 

2.6O 

40 

240 

100 

640 

1  60 

1040 

22O 

1440 

180 

1  8  40 

34° 

114O 

40 

240 

40 

1.67 

4' 
4* 
43 
44 
45 
46 

4Z 
48 

ii. 

11 
5i 
5* 
53 
54 

\l 
ll 

12. 
60 

*44 
248 
252 
256 
3  o 
3  4 
3  8 
312 
3  16 

IOI 
IO2 
103 
104 

I05 

1  06 

107 

108 
109 

644 
648 
652 
656 
7  o 
7  4 
7  8 
712 
716 

161 
1  61 
163 
164 
165 
1  66 
167 
168 
169 

1044 

1048 
1052 
1056 

II  O 

n  4 
ii  8 

II  12 

ii  16 

221 
222 
223 
224 
225 
226 
227 
228 
229 

'444 
1448 

'45* 
1456 
15  0 
'5  4 
15  8 
1512 
15  16 

181 
283 
284 
285 
286 

*87 
288 
289 

1844 
1848 
1852 
1856 
19  o 
19  4 
19  8 
19  12 
19  16 

34* 
343 
344 
345 
346 

347 
348 
349 

**  44 
2248 
12  52 

22  56 

23  o 
23  4 
23  8 

23  12 

23  16 

4' 
4* 
43 
44 

46 

47 
48 

49 

*44 
248 
151 
156 
3  ° 
3  4 
3  8 

3  'A 
316 

4' 

4* 
43 
44 

46 

47 
4$ 
49 

2.73 
1.80 
287 
2.93 
3-00 
3.07 

3-*3 
3.20 

3-*7 

320 

no 

7  20 

170 

n  20 

230 

15  20 

290 

19  20 

350 

23  20 

50 

310 

50 

3-3,3 

324 
3*8 
33* 
336 
340 
344 
348 
35* 
356 

in 

112 
113 
114 

"I 

116 
117 
118 
"9 

7*4 
7*8 
73* 
736 
740 
744 
748 
75* 

171 
172 
173 

'74 

176 
177 
178 
'79 

n  24 
ii  28 
1132 
n  36 
n  40 
"44 
1148 

"5* 
ii  56 

23I 

232 

*33 

*34 
235 
236 

III 
*39 

1524 
1528 
'53* 
1536 
'54° 
'544 
1548 

15  SA 
1556 

291 
292 
293 
294 

*95 
296 

297 
29$ 
*99 
300 

'9*4 
1928 

'93* 
1936 
1940 
'944 
1948 

'95* 
1956 

35  » 
35* 
353 
354 
355 
356 

357 
358 
359 

2314 
23  28 
2332 

2336 
2340 

*344 

2352 
2356 

5' 
5* 

53 
54 

ll 

ll 

59 
Ifc 

324 
328 
33* 

336 
340 

344 
348 
35* 
356 

5» 

5* 
53 
54 
55 
56 

!l 

59 

340 
3-47 
3-53 

3'f° 

3.67 

3-73 
3.80 
3.87 
3-93 

4  0 

110 

8  o 

1  80 

11  O 

240 

16  o 

20  o 

360 

04  o 

4  o 

60 

4.00 

APPENDIX 


1.  TABLE  FOR  THE  CONVERSION  OF  SIDEREAL  TIME 

INTO  MEAN  TIME 

2.  TABLE    FOR    THE    CONVERSION    OF    MEAN    TIME 

INTO  SIDEREAL  TIME 

3.  TABLES  OF  REFRACTION 

4.  CONSTANTS 


562 


CONVERSION  OF  SIDEREAL  TIME  INTO  MEAN  TIME. 


• 

o«n 

im 

am 

3m        | 

o 

h    m    c 
o    o    o 

h    m    • 
6    6  15 

h    m    i 
12  12  29 

h    m    « 
18  18  44 

• 

O.OO 

m  s 
o    o 

s 
0.50 

m   s 
3    3 

I 

2 

3 
4 

i 

1 

9 

066 

0   12    12 

o  18  19 
o  24  25 
o  30  31 
o  36  37 

o  41  44 
o  48  50 
o  54  56 

6   12   21 

6  18  27 
6  24  33 
6  30  40 
6  36  46 
6  42  52 
6  48  58 

6  55    4 
7    i  ii 

12  18  35 

12   24  42 
12   30  48 

12  36  54 
12  43    o 
12  49    7 

«  55  »3 
13    i  19 
13    7  25 

18  24  50 
18  30  56 
18  37    2 

18  43    9 
18  49  15 
18  55  21 
19     i  27 

»9    7  34 
19  13  40 

O.OI 

O.O2 

0.03 
0.04 
0.05 
0.06 
0.07 
0.08 
0.09 

o    4 
0    7 

0    II 

o  15 
o  18 

0   22 

o  26 
o  29 
o  33 

0.51 
0.52 
0.53 
0.54 

°-55 
0.56 

0.57 
0.58 
0.59 

3    7 
3  10 

3  »4 
3  '8 
3  21 
3  »5 

3  29 
3  32 

3  36 

10 

112 

7    7  i? 

»3  *3  3i 

19  19  46 

O.IO 

o  37  i   0.60 

3  4° 

ii 

12 
»3 
14 

ii 

;; 

'9 

7    9 
»3  >5 

19   21 
25    27 

3»  34 
37  4° 
I  43  46 
i  49  52 
i  55  59 

7  13  23 
7  »9  29 
7  *5  36 
7  31  42 

7  37  48 
7  43  54 

7  5°    i 
7  56    7 
8    2  13 

13  19  38 
13  *5  44 
13  31  5° 
»3  37  56 
»3  44    3 
13  5°    9 
13  56  15 

14      2   21 

14    8  28 

19  25  52 
19  31  59 
19  38    5 
19  44  ii 
19  50  17 
19  56  23 

2O      2   30 
20      8   36 

20  14  42 

O.I  I 
0.12 
O.I3 

O.I4 
0.15 

0.16 
0.17 
0.1  8 
0.19 

o  40 
o  44 
o  48 
o  51 

o  55 
o  59 

I      2 

i    6 

I    10 

0.61 
0.62 
0.63 
0.64 
0.65 
0.66 
0.67 
0.68 
0.69 

3  43 
3  47 
3  5" 
3  54 
3  58 
4    * 
4    5 
4    9 
4  13 

20 

225 

8    8  19 

»4  14  34 

20   20  48 

0.20 

I  13 

0.70 

4  16 

21 

22 
23 

*4 

11, 
2 

'9 

3Q 

3i 

32 

33 
34 
35 
36 

37 
3» 
39 

2      8    II 

2   14   I? 
2   20  24 
2    26   30 
2   32   36 
2   38   42 

*  44  49 
2  50  55 

2  57    i 

8  14  26 
8  20  32 
8  26  38 
8  32  44 
838  5i 
8  44  57 
851    3 
8  57    9 
9    3  16 

14  20  40 
14  26  46 
»4  3*  53 
14  38  59 

H  45     5 
14  51  ii 

14  57  18 
IS    3  *4 
15    9  3° 

20  26  55 
ao  33    i 
20  39    7 

*°  45  »3 
20  51  20 
20  57  26 

»i    3  3* 
21    9  38 
21  15  45 

O.2I 
0.22 
0.23 
0.24 
0.25 
O.20 
O.27 
0.28 
0.29 

I  17 

I    21 

I    24 

I    28 

i  3* 
*  35 
'  39 
i  43 
i  46 

0.71 

0.72 
0.73 
0.74 
0.75 
0.76 
0.77 
0.78 
0.79 

4  20 
4.24 
4  «7 
4  3» 

4  3i 
438 

442 
4  46 
4  49 

3    3     7 

9    9  22 

15  15  36 

21    21    51 

0.30 

i  50 

0.80 

4  53 

3    9  H 
3  IS  a° 
3  21  26 

3  *7  3* 
3  33  3» 
3  39  45 
3  45  5* 
3  5i  57 
3  5»    3 

9  »5  *8 
9  "  34 
9  *7  4i 
9  33  47 
9  39  53 
945  59 

9  5*    5 

9  58  14 

10    4  18 

15  21  43 
15  *7  49 
15  33  55 
15  40    i 
15  46    8 
15  52  14 

15    58    20 

16    4  26 
16  10  33 

21  27  57 
21  34    3 

21   40   IO 

21  46  16 

21    52   22 
21    58   28 

22    4  35 

22    10  41 

22  16  47 

0.31 
0.32 
0.33 

0.34 

o-35 
0.36 

0.37 
0.38 
o-39 

*  54 

*  57 

2      I 

i    5 

2      8 
2   12 
2   l6 
2   19 
2   23 

0.8  1 
0.82 
0.83 
0.84 
0.85 
0.86 
0.87 
0.88 
0.89 

4  57 
5    o 
5    4 
5    8 
S  « 
5  '5 

5  »9 
5  22 
5  26 

40 

4    4  10 

10  10  24 

16  16  39 

22    22   53 

040 

2   26 

0.90 

5  3° 

4i 
4* 
43 
44 

42 
46 

4Z 
48 

49 

4  10  16 
4  16  22 
4  22  28 

4  18  35 
4  34  4' 
4  40  47 
4  46  53 
4  53    o 
4  59    6 

10  16  30 
10  22  37 
10  28  43 
10  34  49 
10  40  55 
1047    * 

10  53    8 
10  59  14 
ii    5  ao 

16  22  45 
16  28  51 
»6  34  57 
16  41    4 
16  47  10 
16  53  16 
16  59  22 
17    5  29 
»7  «  35 

22   29     O 

22  35    6 

22   41    12 

22  47  18 
22  53  24 
22  59  31 

»3    5  37 
23  ii  43 

23  17  49 

0.41 
0.42 
043 
044 
045 
046 

047 
048 
049 

2   30 

2  34 
2  37 

2  41 

*  4S 

2   48 

*52 
2    56 

2  59 

0.91 
0.92 
0.93 
0.94 
0.95 
0.96 
0.97 
0.98 
0-99^ 

1  .00 

5  33 
5  37 
5  4i 
5  44 
5  48 
5  5* 
5  55 

259 
6    3 

50 

55" 

ii  ii  27 

17  17  41 

23  23  56 

0.50 

3    3 

6    6 

5i 

5* 
53 
54 

11 

H 

£ 

5  ii  18 

5  17  *5 
5  *3  3i 
5  29  37 
5  35  43 
5  4i  5° 
5  47  56 

1  54    I 
608 

«  17  33 
ii  23  39 
ii  29  45 
ii  35  52 
ii  41  58 
ii  48    4 
ii  54  10 
i*    o  17 
12    6  23 

17  23  47 
17  29  54 
17  36    o 

1745,    6 

17   48    12 

»7  54  19 
18    o  25 
18    6  31 
18  12  37 

23  30    2 

23  36    8 
23  42  14 

23   48   21 

23  54  27 
24    o  33 
24    6  39 

24    12   46 

24  18  52 

Example:  Given  15i«0»>0» 
The  table  gives  first: 
for  14h57'»l8»     2n'27» 
then  for   2  42            0.44 

15     0 
The  differei 
IShOmQs  - 
-  14i>5' 

0       2  27.44 
ice 

-  2"'27>.44 
''  32».56 
uired   mean 

6    6  15 

12    12    29 

18  18  44 

24  24  58 

is  the  req 
time. 

CONVERSION  OF  MEAN  TIME  INTO  SIDEREAL  TIME. 


563 


f 

o» 

l» 

- 

3m 

h    m    • 

h    m    • 

b    m    • 

h    m    i 

s 

m   s 

£ 

m   c 

o 

O    O    O 

o    5  15 

12  10  29 

18  15  44 

ooo 

o   o 

O.50 

3    3 

I 

065 

6  II   20 

12  16  34 

18  21  49 

O.OI 

o    4 

0-5' 

3    6 

2 

O  12  IO 

6  17  *5 

12  22  40 

18  27  54 

O.O2 

o    7 

0.52 

3  Io 

3 

o  18  16 

6  23  30 

12  28  45 

»8  33  59 

O.O3 

0   II 

°-53 

3  X4 

4 

O  14  21 

6  29  36 

12  34  50 

1840    5 

O.O4 

o  15 

0.54 

3  »7 

I 

o  30  26 
o  36  31 

63541 
6  41  46 

ii  40  55 
12  47    i 

18  46  10 
18  52  15 

O.OC 
040 

o  18 

O  22 

0-55 
0.56 

3  -l 
3  »5 

7 

o  42  37 

6  47  51 

12  53    6 

18  58  20 

O.O7 

o  26 

0.57 

328 

ft 

048  42 

6  53  56 

12  59  ii 

19    4  26 

0.08 

o  29 

0.58 

3  32 

9 

o  54  47 

702 

13    5  16 

19  10  31 

Mf 

o  33 

0.59 

3  35 

IO 

i    o  52 

767 

13    II    21 

19  16  36 

O.IO 

o  37 

0.60 

3  39 

ii 

i    6  58 

7   12  12 

13    I?   27 

19  22  41 

0.1  1 

o  40 

0.61 

12 

13    * 

7  18  17 

13   23   32 

19  28  47 

an 

044 

0.62 

-   . 

13 

19    8 

7  24  23 

13  29  37 

«9  34  5* 

0.13 

047 

0.63 

3  50 

'4 

*5  13 

7  30  28 

»3  35  4* 

19  40  57 

0.14 

051 

0.64 

3  54 

15 

31  19 

73631 

13  41  48 

1947    * 

°55 

°*I 

3  57 

IO 

37  «4 

7  4*  3» 

»3  47  53 

'953    7 

0.10 

o  58 

0.66 

4    * 

11 

43  *9 
49  34 

7  48  44 
7  54  49 

*3  53  58 

14    o    3 

19  59  i* 

20    5  18 

0.17 

0.18 

i    6 

0.67 
0.68 

Ji 

I9 

55  4° 

8    054 

14    6    9 

20  ii  23 

0.19 

'    9 

0.69 

4  ii 

10 

2    i  45 

8    6  59 

14  12  14 

20   17   28 

O.2O 

i  13 

0.70 

416 

ii 

2    7  50 

8  13    5 

14  18  19 

20  23  34 

an 

i  17 

a?i 

4  »9 

21 

i  13  55 

8  19  10 

14  24  24 

20  29  39 

O.22 

I   20 

0.72 

4  »3 

*3 

2  2O      I 

825  15 

14  30  30 

20  35  44 

0.23 

I  24 

0.73 

4  *7 

14 

*  26    6 

8  31  20 

14  36  35 

20  41  49 

0.24 

I  28 

0-74 

4  3° 

*5 
16 

i  31  ii 
2  38  16 

83726 

8  43  3? 

14  42  40 
14  48  45 

*°  47  55 
20  54    o 

0.2< 
O.IO 

«  35 

0.75 
0.76 

4  34 
438 

*z 

a  44  12 

84936 

H  54  5» 

21     0     5 

0.27 

i  39 

0.77 

4  4* 

18 

2  50  27 

8  55  41 

15    o  56 

21     6  10 

O.l8 

i  42 

a?8 

445 

a? 

2  56  31 

9    *  47 

15    7     i 

21    12   l6 

0.29 

146 

0.79 

4  49 

3° 

3    *  37 

9    7  5^ 

15  13    6 

11    l8    21 

0.30 

i  50 

080 

4  5* 

3' 

3    843 

9  *3  57 

15    19   12 

21    24  26 

0.31 

«  53 

0.81 

456 

3* 

3  »4  4» 

9  10    z 

IS   25   17 

21   30  31 

a32 

*  57 

082 

4  59 

33 

3  ao  53 

9  26    8 

15  31  «* 

«  36  37 

0-33 

i    i 

0.83 

5    3 

34 

3  26  58 

9  3*  13 

»5  37  *7 

21   42  42 

0.34 

*  4 

0.84 

5    7 

36 

3  33    3 
3  39    9 

93818 
9  44  *3 

»5  43  33 
15  49  38 

21  48  47 
"  54  5* 

0-35 
a36 

2      8 

*  ii 

0.8; 
086 

5  '0 
5  '4 

$ 

3  45  »4 
3  5»  »9 

9  50  28 
9  56  34 

'5  55  43 

16    i  48 

22     O  58 

22    7    3 

0-37 
0.38 

2  15 

2  19 

0.88 

518 
5  « 

39 

3  57  H 

10    239 

16    7  54 

22  13      8 

0.39 

2   22 

0.89 

5  *5 

40 

4    3  3<> 

10    8  44 

16  13  59 

22  19   I3 

040 

2  16 

0.90 

S  »9 

4» 

4    9  35 

10  14  49 

16  20    4 

22  15   19 

041 

2  30 

0.91 

5  3* 

41 

4  r5  4° 

10  20  55 

16  26    9 

22  31   24 

041 

»  33 

0.92 

536 

43 

4  ii  45 

10  27    o 

16  32  14 

12  37  29 

043 

2  37 

0.93 

54° 

44 

4  27  51 

10  33    5 

16  38  20 

22  43  34 

044 

2  41 

0.94 

5  43 

Jf 

4  33  56 
4  40    i 

10  39  10 

10  45  16 

1644  25 
16  50  30 

22  49  39 
«  55  45 

0.45 
046 

144 
248 

o-95 
0.96 

5  47 
5  5' 

47 

446    6 

10  51  21 

16  56  35 

23    i  50 

047 

2  52 

0.97 

5  54 

48 

45*  " 

10  57  26 

17    141 

*3    7  55 

048 

*  55 

0.98 

558 

49 

4  58  17 

"    3  3« 

17    846 

23  14    o 

049 

2  59 

0.99 

6     2 

50 

5    4  22 

ii    9  37 

17  14  51 

13  10    6 

0.50 

3    3 

1.00 

6    5 

5' 
5* 
53 

5  1027 
5  16  31 
5  22  38 

ii  15  42 
ii  21  47 

ii  27  52 

17  20  56 

17  27    * 
'7  33    7 

23  26  ii 
23  32  16 
23  38  21 

Example:  Let  the  given 
mean  time  be 
14h57"»32».56. 

54 

11 

57 

5  *8  43 
5  344» 
5  4°  54 
5  46  59 

"  33  58 
1140    a 
ii  46    8 
ii  52  13 

17  39  12 
»7  45  »7 
17  5*  «3 

17  <7  28 

23  44  27 

*3  50  3* 
23  56  37 

24      2  41 

The  table  gives  first 
for  14»>54'«51«    2«>27» 
then  for   2  41             0.44 

3 

5  53    4 

ii  58  19 

18    3  35 

24    8  48 

2  27.44 

59 

5  59    9 

ii    4  24 

18    938 

»4  H  53 

The  sum  Hh57n.32s.56 

60 

6    5  15 

12    10  29 

18  15  44 

24  20  58 

+2"»27*.44=  15hO«0».00 

is  the  required  sidereal 

time. 

564 


TABLES  OF  REFRACTION 

BASED    UPON    THOSE 

OF  BESSEL 
THERMOMETER:  REAUMUR. 
BAROMETER:   PARIS  INCHES  AND  LINES. 

P 
TAR.  M. 

AHOMKTF 
MII.I.'". 

H 
KNGL. 

ixcir. 

Ti 

UKAUM. 

I.IOKIM  i: 
CELSIUS 

IT:  it 
FAHR. 

CORRECTION 

OF 
B  A  R  O  M  ET  E  R  . 

»6"    3* 
4 

I 
I 

9 

10 
it 

710.6 
712.9 
7I5.I 

7I7-4 
719.6 
721.9 

724.1 
726.4 
728.6 

II 

27.99 

28.07 
28.16 
28.25 
18.34 
2843 

28.52 
28.61 
28.70 

-16° 
15 

H 

'3 

12 
II 

0 
—  2O.O 

18.8 

17.5 
16.3 

X5<° 
13.8 

e 
-4.0 

-1.8 
+  0.5 

a.8 
5-° 
7-3 

t   External 
t'  Attached 
Thermometer  ac- 
cording to  Reau- 
mur. 

10 

12.5 

9-5 

1 

7 
6 
5 

4 

3 

2 
—  I 

11.3 

IO.O 

8.8 

n 

5.0 

3-8 
*-5 
-««3 

1  1.8 

IJ.O 

16.3 

i8.| 
ao.8 
23.0 

»5-3 
27.5 
29.8 

Par.  Lin. 

K 

0.00 

0.07 

0.14 

0.20 
0.27 
0.34 
041 
048 
0.54 

0.61 
0.68 

•orrection  is 
same    sign 
-t'. 

27     o 

730.9 

28.79 

—  r 

o 
O 

I 
2 

3 

4 

i 

I 

9 
xo 

This  ( 
of    the 
with  t- 

I 
1 
3 

4 

I 
I 

9 
10 
ii 

733-i 
7354 
737-7 

739-9 

742.2 

744-4 
746.7 
748.9 

751.2 
753-5 
755-7 

28.87 
28.96 
29.05 

29.14 
29.23 
29.32 
2941 
29.50 

29.58 
29.67 
29.76 

0 

O.O 

32.0 

•+•  I 

2 

3 

4 
I 

I 
9 

-+-1.3 

n 
« 

7-5 
8.8 

IO.O 

11.3 

34-3 
36.5 
38.8 

41.0 
43-3 
45-5 

47-8 

50.0 
52.3 

a8     o 

758.0 

29.85 

i 
2 
3 

4 

i 
1 

9 
10 
ii 

760.2 
761.5 

764.7 

767.0 
769.2 
771-5 
773-8 
776.0 

778.3 

7H 
782.8 

29.94 
30.03 
30.12 

30.11 

30.30 
30.38 
30.47 
30.56 

30.65 
30.74 
30.83 

10 

12.5 

54-5 

Note:  In  the  se- 
cond and  third  co- 
lumn .3  and  .8  stand 
for  .25  and  .75  resp. 
FOR  CONVERSION 
FAIIR.      KEAUM. 

ii 

12 
»3 
14 

:i 

3 

»9 

13.8 
15.0 
16.3 

17-5 
18.8 

2O.O 
21.3 

"1 
23.8 

56.8 

59-o 
61.3 

63.5 
65.8 
68.0 

70.3 

7*1 
74-8 

19     o 

785.0 

30.92 

I 
* 

787.3 
789.5 

31.01 
31.10 

• 
O.I 

2 

3 

4 

1 

7 
8 

9 

0 

0.04 

09 

\\ 

22 
*7 

U 

040 

FOR  CONVERSION 

BMGL.   INCH        PAK.    LINES. 

20 

25.0 

77-o 

21 

22 

*3 
*4 

3 

+  3 

26.3 

*7-5 

•U 

30.0 
31.3 
32.5 

33-8 

35-0 

79-3 
81.5 
83.8 

86.0 
88.3 
90-5 
92.8 
95-o 

' 

0.0  1                          0.1  1 

i                   .23 
3                   -34 
4                   -45 
5                   -56 
6                  .68 

7                   -79 
0.90 
0.09                i.oi 

I.O 
l.O 

0-44 
0.89 

TABLES  OF  REFRACTION. 


565 


TABLE  I.    MEAN  REFRACTION. 

i~  S 

ts 

« 

REKH. 

APPT 

Al.TI) 

REFK. 

APPT. 

Al.TII. 

RKFH. 

APPT. 

Al.TIK 

RKKH. 

's.  — 

<< 

RKFH. 

o    « 

o  o 

34'54-'l 

ii& 
116.9 

108.8 
100.8 

9*-9 
85.. 

77-9 
71.1 
64.7 
59.0 
53-9 
49-4 
4J-6 
4»-3 
39.8 

37-5 
35.6 

33-* 
30-9 
18.7 
16.7 
*4.6 
»3-o 
»i.8 
10.6 
19.7 
19.0 
18.4 
17.9 
16.8 
15.6 
14.9 
14.1 

'3-5 
11.8 
i».3 
11.7 
11.3 
10.8 
10.3 

10.O 

9-5 

•     / 
7    o 

i   a 
719.7 

n 
9'» 
8.8 

8.4 
8.* 

7-9 
7.6 
7-3 
7-* 
6.8 
6.6 
6.4 
6.1 
6.0 

5-7 
5.6 
S-S 
5-» 

5-' 

$.0 

4.8 
4-7 
4-5 
4-4 
4-3 
4.* 
4.1 
3-9 
J«9 
3-7 
3-7 
3.6 
3-4 
3-4 
3-3 
S-« 
3.* 

14  o 

,    // 
347-4 

S?3 
5-* 

4.9 

4-7 

4-5 
4-3 
4.1 
4.0 
3-9 
3-7 
3.6 

3-5 
3-3 
3-» 

3-» 

3.0 

»-9 
»-9 
t.S 
>.6 
*.6 
»«J 
*-5 
*-4 

••3 

a.* 

*.i 
».» 

1.1 

1,0 

1.9 

'•9 
1.9 

i  8 

28°  o' 

X4& 

A 
M 
»-5 

*-4 
M 
»>3 
»>3 
'•3 
»-3 

«-3 
«.» 
i.i 
1.1 
1.1 
1.1 
1.1 
i.  s 
i.i 
1.1 

I.o 

T.O 
1.0 
I.O 

1.0 

I.O 

0.9 
0.9 
0.9 

«-9 
0.9 

0.9 
0.9 
0.8 
0.9 
0.8 
0.8 
o.S 
0.8 
0.8 
o.S 
0.8 
0.7 

• 

4* 
43 

6/0 

61.8 

& 
i.i 

1.0 

».o 
»>9 
*-9 
*-7 
1.8 

'•7 
1.6 
1.6 
1.6 
«.$ 
«-S 
*^ 
i^ 
1.4 
M 
»«3 
»>3 
*-3 
i.i 

*-3 
i.* 
j.i 
i.s 
i.i 
i.  a 
i.i 
i.i 
i.i 
i.i 
i.i 

I.O 

i.i 
i.i 
i.i 

I.O 

I.I 

I.O 

4.0 
4.1 

IO 

so 

30 
40 
50 

32  49.2 

3°5*-3 
29   3.5 

*7  »2.7 

25  49.8 

IO 
20 
30 
40 
50 

710.5 
7   1.7 
653-3 
645.1 
637.0 

00 

40 

342.1 
337.0 

ao 
40 

146.7 
»45-3 

44 

it 

59-7 
57.7 
55-7 

15  o 

330.1 

29  o 

143.8 

00 

40 

3*74 
300.9 

oo 

40 

1404 
i  41.0 

S 

J3L 

J°- 

51 

5* 
J3_ 
54 

H 

53-8 
519 

5o.a 

I    O 

04*4.6 

8    o 

6  09.6 

16  o 

318.6 

30  o 

139-7 

IO 

00 

30 
40 
50 

03  6.7 

oi  55.6 
2050.9 

J25o'9 

18  58.0 

10 
20 
30 
40 
50 

6  22.3 
6  15.0 
6   8.4 
6   1.8 
5-55-4 

oo 
40 

3*4-5 
310.5 

oo 

40 

138-4 
137-1 

484 

46.7 
45-1 
43-5 

17  o 

3    6.6 

31  o 

135.8 

00 

40 

3    *-9 
*59-3 

20 

40 

134-5 
133-3 

2    O 

18   8.6 

9    o 

549-3 

4L9 

404 

38.9 

IO 

20 

30 
40 

5° 

17  23.0 
1  6  40.7 
1  6   0.9 
15034 
1447.8 

IO 

20 

30 
40 
50 

543-3 
537-6 
530.0 
506.5 
5*i-3 

18  o 

055.8 

32  o 

130.1 

oo 

40 

252.5 
249.3 

oo 

40 

130.0 
i  09.8 

3 

* 

— 
6> 

'3 

37-5 
36.1 

5d  1 

19  o 

246.1 

33  o 

128.7 

3  o 

14  14.6 

IO  O 

5  16.2 

oo 
40 

243.1 

040.0 

20 
40 

i  27.6 
i  06.5 

33-3 

10 

20 

30 
40 
50 

»3  43-7 
13  15.0 
1248.3 

12  23.7 
12    O-7 

IO 
20 

30 
40 
50 

511.0 
5   6.4 
5   i-7 
457-* 
452.8 

oo  o 

037.3 

34  o 

1254 

32.0 
30.7 
294 

ao 
40 

*34-5 
231.9 

20 
40 

104-3 
103.3 

21    0 

429.3 

35  o 

102.3 

S 
66 

28.2 
26.9 

25.7 

4  o 

II  38.9 

II    0 

448.5 

ao 
40 

226.8 
224.3 

oo 

40 

1*1.3 

i  20.3 

10 
IO 

30 
40 

5° 

II  18.3 
1058.6 

10  39.6 

10  01.2 

10  3.3 

IO 
20 
30 
40 
50 

444-3 
440.2 

436.3 
43*4 
428.7 

67 
68 

JL 

JO- 
71 
7* 
73 

*4-5 
*3-3 

02.2 

22  o 

221.9 

36  o 

119-3 

oo 

40 

019.6 
0174 

oo 

40 

118.3 

1174 

21.0 

5  ° 

946.5 

12  O 

425.0 

03  o 

215.0 

37  o 

1  16.5 

I9.Q 

18.8 

17.7 

10 

20 
30 
40 
50 

930-9 

9  1  6.0 

2   S'9 
8484 

835-6 

IO 
00 
30 
40 
50 

4214 
418.0 
414.6 
411.3 
4   8.1 

oo 

40 

a  13.0 
010.9 

00 

40 

i  15.6 

114-7 

04  o 

2   8.9 

38  o 

113.8 

74 

7! 
76 

1  6.  6 
15-5 
14-5 

oo 

40 

o   7.0 
a  5-i 

00 

40 

1  12.9 

I  12.0 

6  o 

803.3 

13  o 

4  4-9 

V« 

25  o 

2  3.0 

39  o 

I  II.  1 

77 
78 

.22. 
so 

"sT 
82 

86 
9° 

134 
10.3 

1  1.  2 

IO 

20 
30 
40 
50 

811.6 
8   0.3 
749-5 
739-* 
709.2 

10 

20 

30 
40 
50 

4   1.8 
358.8 
355-9 
353-0 
350.2 

3-0 
»-9 

oo 

40 

2     1.4 
159.6 

1.8 

1.8 

'•7 
»-7 
1.6 
i  6 

oo 

40 

I  IO.3 

i    9-5 

IO.2 

»-9 

26  o 

157.8 

40  o 

i    8.7 

9-i 
8.1 

4-i 

0.0 

1.8 
t.J 

20 

40 

I  56.1 

i  54-4 

00 

40 

i    7.9 
i    7.1 

7  o 

| 

7I9-7 

14  o 

347-4 

27  o 

i  52.8 

41  o 

i    6.3 

oo 

40 

151.0 

M9-7 

'•5 
'•5 

00 

40 

»    5-5 

i    4-7 

28  o 

148.0 

40  o 

i    4.0 

566 


TABLES  OF  REFRACTION,-. 


TABLE  II.    CORRECTION  FOR  TEMPERATURE. 

MEAN  REFRACTION. 

x  ;*' 

~-K 

20'" 

40 

I'Q 

i  20' 

140* 

2'0* 

2  2O 

240' 

3'o 

320 

34° 

4'o 

420 

440* 

r"  x 

-16* 

-h 

4^8 

+ 

9-5 

+ 
n".9 

-t~ 
144 

+ 

i6".8 

+ 

+ 

* 

+ 
i6*.7 

19.2 

i'8 

344 

—  15 

*-3 

4-5 

6.8 

114 

!3-7 

15.9 

i?.3 

20.7 

23.0 

154 

27.8 

3^-3 

32.7 

-14 

1.1 

4-3 

6-5 

8.6 

10.8 

13.0 

15.1 

I74 

19.6 

11-9 

14-1 

26.4 

18.7 

31.1 

—  12 

1.0 

1-9 

6.1 

M 

8.1 
7.7 

10.1 

9-7 

"i 

1  1.6 

14-3 
i,.6 

16.5 
1S.6 

1  8.6 

17.6 

2O-7 
19.6 

11.0 

ii.b 

25.1 

17.1 
as.8 

*9«5 

27.9 

-II 

1.8 

3-6 

5-5 

7-3 

II.O 

12.8 

1  6.6 

iis 

204 

22.3 

a6.3 

—  IO 

i-7 

34 

5.1 

6-9 

8.6 

10.3 

I2.I 

13.8 

15.6 

174 

19.2 

21.  0 

22.8 

24.7 

-  9 

1.6 

3  -a 

4-8 

64 

8.1 

9-7 

II.3 

13.0 

14.6 

16.3 

1  8.0 

IQ.7 

214 

23.2 

-  8 

1.5 

3.0 

4-S 

6.0 

7-5 

9.0 

10.6 

I2.I 

13.7 

15.2 

16.8 

184 

2O.O 

11.6 

-  7 

M 

2.8 

4-a 

5-6 

7.0 

84 

9-8 

II.3 

11.7 

14.1 

15.6 

I7.I 

1  8.6 

10.1 

-  6 

i-3 

2.6 

39 

5-a 

6-5 

7-8 

<M 

IO4 

"•7 

11.1 

14.4 

IS.8 

17.2 

18.6 

-  5 

i.i 

2.4 

3-6 

4-8 

6.0 

7.1 

8-4 

9.6 

10.8 

12.0 

13.3 

IS.8 

17.1 

-  4 

i.i 

2.2 

33 

4-3 

54 

6.5 

7-6 

8.7 

9.9 

II.O 

I2.I 

13-3 

144 

15.6 

_  3 

I.O 

2.O 

*-9 

3-9 

4-9 

S9 

6.9 

7-9 

8.9 

IO.O 

II.O 

12.0 

13.1 

14.1 

—   2 

0.9 

1.8 

2.6 

3-5 

44 

5-3 

6.2 

8.0 

8.9 

9-9 

10.8 

11.7 

11.7 

—    I 

0.8 

1.6 

a-3 

3-9 

4-7 

5-5 

6.3 

7-1 

7-9 

8-7 

9.6 

104 

1  1.2 

O 

0.7 

1  4 

2.O 

2.7 

34 

4-' 

4-8 

5-5 

6.1 

6-9 

7.6 

8-3 

9.1 

9-8 

4-   I 

0.6 

1.2 

1-7 

a-3 

»-9 

3-5 

4.1 

4-7 

5-3 

5-9 

6.5 

7>i 

z-8 

84 

-t-   * 

0.5 

I.O 

1.5 

'•? 

*4 

2.9 

34 

3-9 

44 

4-9 

$-4 

6.5 

7.0 

+  3 

04 

0.8 

1.2 

1.6 

i* 

*-7 

3-1 

3-5 

3-9 

44 

. 

5-* 

S-6 

•*•  4 

0.3 

0.6 

0.9 

1.2 

1.5 

1.8 

2.1 

24 

a-7 

3-0 

3.3 

3-6 

3-9 

4>a 

+  s 

0.2 

0.4 

0.6 

0.8 

I.O 

i.i 

1.4 

1.6 

1.8 

1.O 

1.1 

2.7 

a-9 

+  6 

O.I 

O.2 

0.3 

04 

0.5 

0.6 

O.? 

0.8 

0.9 

i.i 

1.2 

'•3 

14 

1-S 

•*•  7 

0.0 

o.o 

0.0 

O.I 

O.I 

0.1 

0.1 

O.I 

O.I 

0.1 

O.I 

O.I 

0.2 

O.2 

+  8 

O.I 

O.2 

O.2 

0.3 

04 

°-S 

0.6 

0.7 

0.7 

0.8 

0.9 

I.O 

I.I 

1.2 

+  9 

0.1 

0.3 

0.5 

0.7 

0.9 

I.O 

1.2 

14 

1.6 

1.8 

2.1 

2.3 

2.5 

+  10 

0.3 

0.5 

0.8 

I.I 

1.3 

1.6 

19 

i.i 

a-4 

1.7 

a-9 

3-* 

3-5 

3-8 

+  11 

+  12 

04 
0.4 

O.? 
0-9 

I.I 

1.3 

;i 

1.8 
z.i 

2.1 

2.7 

*j 

1.8 
3-6 

3-a 
4.0 

3-6 
4-5 

3-9 
49 

4-3 

4-7 
5-9 

s 

+  13 

0.5 

I.I 

I.O 

1.1 

1.7 

3-7 

4-3 

4-8 

54 

5-9 

6-5 

7-6 

+  14 

0.6 

1.2 

19 

*•§ 

3.1 

3-7 

44 

5.0 

5.6 

6.3 

6-9 

2-6 

8.2 

8-9 

-4-15 

0.7 

14 

2.1 

2.8 

3-5 

4-a 

5.0 

5-7 

6.4 

7.1 

7.9 

8.7 

94 

10.  1 

+16 

0.8 

.1.6 

*4 

3-a 

4.0 

4-8 

5-6 

6-4 

8.0 

8.8 

9-7 

10.5 

"4 

+17 

0.9 

1.8 

2.6 

3.5 

44 

V3 

6.1 

7.1 

8.0 

8-9 

9.8 

10.7 

n.6 

12.6 

+18 
+19 

10 
I.O 

2.1 

3'.? 

3-8 
4-a 

4.8 
5-a 

5-8 
6.3 

6.8 

74 

7-8 
8-4 

8.7 
9-5 

9i 

10.6 

10.7 
11.7 

ii.  8 

12.8 

12.8 

13.9 

13.8 
15.0 

+20 

I.I 

2.3 

34 

4-5 

5-7 

6.8 

7-9 

9-1 

10.3 

114 

12.6 

13.8 

15.0 

i6.a 

+21 

+  22 

1.2 

M 

Ii 

3-6 
3-9 

4-8 
S-* 

6.1 
6,5 

]'\ 

8-5 
9.1 

9-8 
10.4 

II.O 

11.7 

11.3 

1  44 

14.8 
'5-8 

16.1 

17.2 

174 

18.6 

+23 

2.7 

4.1 

5-5 

6-9 

8-3 

9-7 

n.  i 

12.5 

13.9 

15-3 

16.8 

18.3 

19.7 

M 

a-9 

44 

S-8 

7.3 

8.8 

IO.2 

11.7 

13.2 

14-7 

16.1 

17.8 

19-3 

20.9 

+  25 

46 

6.1 

7-7 

9.2 

10.8 

114 

13.9 

iS-5 

17.1 

18.7 

20.4 

22.0 

+  26 

1.6 

3-* 

4-8 

6-5 

8.1 

9-7 

11.4 

13.0 

»4-7 

16.3 

1  8.0 

19.7 

214 

23.1 

+27 

1-7 

34 

5-1 

6.8 

8.5 

10.2 

11.9 

i  ?.6 

154 

17.1 

18.9 

20.7 

22.5 

H-3 

+28 

1.8 

3-5 

5-3 

7-1 

8.9 

10.6 

124 

H-3 

ID.I 

17.9 

19.8 

21.6 

a3-S 

a5-4 

TABLES  OF  REFRACTION. 


567 


ARGUMENTS:    EXTERNAL  THERMOMETER  AND  MEAN  REFRACTION 

M 

BAN  1 

IEFRACTION 

t* 

S'o' 

^ 

540 

6'o" 

6*20' 

6'40 

7  « 

7'20" 

740 

S'o" 

8'20" 

8-40 

9'  o" 

jT£ 

-i- 
37.0 

& 

42.3 

-i- 
45-* 

-*- 

47.8 

-f- 
50*6 

53-5 

-+- 

* 

62".! 

-+- 

6S".2 

-4- 

68%- 

•+- 

I  IX.2 

-  16° 

35-* 

37-7 

40.3 

42.9 

45-S 

48.2 

50.9 

53.6 

S64 

59.2 

62.0 

64.9 

I    7.8 

-  15 

33-5 

35* 

38.3 

40.7 

43.2 

45.8 

48.3 

50.9 

53-<> 

56.2 

58.9 

6i-7 

I    4.4 

-  »4- 

31.7 

34-° 

36.3 

38.6 

41.0 

434 

4S-8 

48.3 

50.8 

53-3 

559 

58.4 

i    i.l 

—  13 

30.0 

32.1 

343 

36-5 

38.8 

41.0 

433 

45-7 

48.0 

504 

52.8 

55-3 

57-7 

—  i* 

28.3 

30-3 

344 

36.6 

38.7 

40.9 

43-1 

45-3 

47-5 

49.8 

52.1 

54-5 

—  ii 

26.6 

28.5 

304 

3*4 

344 

36.4 

384 

40.5 

42.6 

44-7 

46.8 

49.0 

51.2 

—  10 

24-9 
23.3 

26.7 
24.9 

21.5 
26.6 

30.3 
28.3 

32.2 

10.1 

34:5 

36.0 
33-6 

37-9 
354 

39-9 

37.2 

41.9 
39.1 

43-9 
41.0 

45-9 
41.8 

48.0 
44-* 

-    I 

21.6 

23.2 

*4-7 

26.3 

27.9 

29.6 

31.2 

32.9 

34.6 

36.3 

38.1 

39.8 

41.6 

-    7 

2O.O 

21.4 

22.9 

24.3 

25.8 

*74 

28.9 

304 

32.0 

33-6 

35-* 

36.8 

38.5 

-    6 

18.4 

19-7 

21.  0 

224 

23.8 

25.1 

26.5 

28.0 

294 

30.9 

3*4 

33-9 

354 

-    5 

16.8 

1  8.0 

19.2 

204 

21-7 

23.0 

24.2 

*55 

26.9 

28.2 

29.5 

30.9 

3»-3 

-    4 

15-3 
13.8 

i6.t 
14.6 

15.1 

18.5 
16.6 

19.7 
17.6 

20.8 

18.7 

22.0 
19.7 

23.1 

20.8 

21.8 

*5-5 
2*9 

26.8 

14.0 

28.0 
25.1 

2Q.3 

26.2 

-    3 

—      2 

12.2 

13.0 

I3.8 

14.7 

I5.6 

16.5 

17-5 

184 

194 

20.3 

21.3 

22.3 

*3-3 

—      I 

10.6 

11.3 

I2.I 

11.9 

I3.6 

»44 

15.2 

16.1 

16.9 

17.7 

1  8.6 

194 

20.3 

0 

9-0 

2.7 

IO-3 

II.O 

II.7 

124 

*3-0 

13.7 

14-5 

15.2 

iS-9 

1  6.6 

174 

-*-     X 

7-5 

.x 

8.6 

9-* 

10.3 

10.9 

11.5 

I2.O 

12.6 

13.9 

14-5 

•+•     2 

6.0 

6-5 

6.9 

74 

. 

8.3 

8.7 

9.2 

9-7 

IO.I 

10.6 

n.  i 

1  1.6 

+    3 

4-6 

4-9 

5-* 

5-6 

5-9 

6.2 

6.6 

6.9 

7-3 

7-7 

8.0 

84 

8.8 

+    4 

a 

a 

3-5 

2.O 

4-0 

2.1 

2.2 

4-5 
*4 

4-7 

5-o 

2.6 

5'* 

2.8 

54 
2.9 

5-7 
3.0 

6.0 
3-* 

0.2 

O.I 

0.2 

O.2 

°-3 

0.3 

0.3 

0.3 

o-3 

0.3 

04 

04 

0.4 

+    7 

1.2 

,., 

»4 

x-5 

1.6 

'•7 

1.8 

i-9 

2.0 

2.1 

2.1 

2.2 

*-3 

+    8 

2.7 

2.8 

3.0 

3.2 

34 

3-6 

3-8 

4-o 

4-* 

44 

4.6 

4.8 

5-o 

+    9 

4-1 

4-4 

4-6 

4-9 

5-* 

5-5 

5-8 

6.1 

6-5 

6.8 

7.1 

74 

7-7 

-4-  10 

H 

5-8 

6.2 

6.6 

?.o 

74 

7-8 

8.3 

8-7 

9-1 

95 

IO.O 

104 

•+•  II 

6.8 

I'l 

7.8 

8.3 

•o 

9-3 

9.8 

104 

10.9 

114 

12.0 

12.5 

13.0 

-1-  12 

8.2 

8.8 

94 

IO.O 

10.6 

ii.  i 

1  1.8 

124 

13-1 

13-7 

14.3 

15.0 

15-7 

•+•  J3 

9.6 

IO.2 

10.9 

1  1.6 

12.3 

I3X> 

13-8 

14.5 

15.2 

1  6.0 

I6.7 

17.5 

1  8.2 

•*•  J4 

10.9 

II.7 

12.5 

13.3 

14.1 

14.9 

'5-7 

i6.S 

174 

1  8.2 

I9.I 

19.9 

20.8 

-H  15 

12.2 

I3.I 

14.0 

14-9 

15.8 

16.7 

17.6 

18.5 

x9-5 

20.4 

214 

224 

234 

H-   16 

I3.6 

'4-5 

'5-5 

16.5 

»7-5 

18.5 

»95 

20.5 

21.6 

22.6 

23.7 

24.8 

25.9 

•+•  17 

14.9 

15-9 

18.1 

19.2 

20.3 

214 

22.5 

23.7 

14.8 

26.O 

27.2 

28.4 

-+-  18 

16.2 

17-3 

18.5 

19.6 

20.8 

22.O 

*3-3 

27.0 

28.3 

29.5 

30.9 

•+•  19 

174 

I8.7 

19.9 

21.4 

22.5 

23.8 

25.1 

264 

27.8 

29.1 

30.5 

31.9 

333 

-t-  20 

I8.7 

20.1 

214 

22.8 

24.1 

25-5 

26.9 

28.4 

29.8 

31.3 

32.7 

J.a 

35-7 

-»-  21 

2O.O 

214 

22.8 

24.3 

25.8 

27.2 

288 

.30.3 

31.8 

334 

34-9 

-  -5 

38.1 

-»-  22 

21.2 

22.7 

*4-3 

25.8 

274 

28.9 

30.6 

32.2 

33-8 

35-5 

37.1 

38.8 

40.5 

-*-«3 

22-5 

24-1 

25.7 

27.3 

29.0 

30.6 

3*3 

34-1 

3S-8 

37-5 

39-3 

41.1 

42.9 

-*-  *4 

23.7 
24-9 

26.7 

27.1 
28.5 

28.8 
30-3 

30.6 

32.1 

32.3 
34.0 

34-1 
35-9 

35-9 
37-8 

37-7 
39-7 

39.6 
41.6 

43.6 

434 
45.6 

451 
47-6 

±2 

•+•  26 

26.1 

28.0 

29.9 

31.8 

33-7 

35.6 

37-6 

39.6 

41-6 

43-7 

45-7 

47-8 

499 

+  27 

27.3 

29.3 

31.2 

33-* 

35-* 

37-3 

3*3 

4M 

43-5 

45-7 

47-* 

50.0 

52.2 

-t-  28 

568 


TABLES  OF  REFRACTION. 


TABLE  II.    CORRECTION  FOR  TEMPERATURE. 

MEAN  REFRACTION. 

in 

9'o" 

9'ao" 

940" 

10'  o" 

lo'io" 

1040" 

II'  0" 

n'ao" 

11*40" 

n'o" 

n'ao* 

r-1  as 

o 

-  16 

-f- 

'     u 
I  II.I 

-*- 
1  14.3 

i'i7-5 

+ 

-4- 
113*9 

-f- 

-4- 

-4- 

-f- 

-t- 

* 

1*7.4 

1305 

i  33-8 

*37-* 

140.7 

144.1 

-  15 

I    7-8 

i  10.8 

1  13.8 

i  16.8 

19.8 

1  13.0 

I  *6.i 

1*9-3 

131.5 

»  3S-8 

1  39-  1 

-  14 

i   44 

i   7.1 

I  IO.I 

i  12.9 

15.8 

i  18.8 

1*1.8 

114.8 

117.9 

i  31.0 

134.1 

_  13 

i    i.i 

*    3-7 

i    6.4 

i    9.1 

11-9 

114.7 

117.5 

1  104 

1  *3-3 

1  16.1 

1  19.2 

—  11 

57-7 

I     O.I 

I    1.8 

i    54 

8.0 

i  10.6 

113.3 

i  16.0 

118.7 

ni-5 

114.3 

—  ii 

54-5 

56.8 

59.1 

i    1.6 

4.1 

i    6.6 

i    9.1 

i  11.7 

i  14.1 

116.9 

119.5 

—  10 

51.1 

534 

55-7 

57-9 

I     0.1 

i    1.6 

i    5.0 

i    74 

.   9.8 

1  12.3 

i  14-8 

-    9 

48.0 

50.0 

54-3 

564 

58.6 

i   0.9 

i    i.i 

1   54 

i   7.7 

I  10.0 

-    8 

44.8 

46.7 

48.7 

50.7 

5*-7 

54-7 

S6.i 

58.9 

I     I.O 

I     V* 

I   54 

-    7 

41.6 

434 

45.1 

47.1 

49.0 

50.9 

5*.8 

54-7 

56.7 

58.7 

i   0.7 

-    6 

38.5 

40.* 

41.8 

43-5 

45-3 

47.0 

48.8 

50.6 

514 

54-3 

56.1 

-    4 

354 
32-3 

36.9 

33-7 

38.5 

40.0 
36.6 

41.6 
38.0 

43-* 
39-5 

44-9 

41X3 

46.5 
4*-5 

48.1 
44° 

49-9 
45.6 

51.6 

47.1 

-    3 

19.3 

30.5 

31.8 

33-' 

344 

35.8 

37.1 

38.5 

39-9 

41.3 

4x7 

—    a 

—    i 

16.1 
23.3 

*74 
*4-3 

18.5 
«5-3 

*9-7 
26.3 

3°-9 
174 

284 

33-3 
*9-5 

341 
30.6 

35-8 
31.7 

37-0 
3».8 

38.3 
34.0 

o 

*03 

11.1 

11.  i 

13.0 

13.9 

a+8 

a5.8 

a6.7 

17.7 

18.7 

19.7 

-f-    i 

174 

18.1 

18.9 

19.7 

ao.5 

ii.* 

11.  i 

aa.9 

*3»7 

14.5 

*54 

•4-    a 

14.5 

15.1 

I5-7 

164 

17.0 

17.7 

184 

19.1 

19.8 

104 

ai.i 

•+-    3 

11.6 

1  2.1 

11.6 

13.1 

13.7 

14.1 

15-3 

15.8 

164 

17.0 

•+•    4 
+  5 

8.8 
6.0 

Q.2 

6.1 

6.5 

tt 

10.3 
7.0 

10.7 
7-3 

ii.i 

7-6 

11.6 
7-9 

1  1.0 

8.1 

"4 

13.8 

8.7 

4-    6 

3-» 

3-3 

3-5 

3.6 

3-7 

3-9 

4.0 

4-* 

44 

4-5 

4-7 

•*•    7 

04 

04 

o-5 

0-5 

0-5 

o-S 

°-5 

0.6 

0.6 

0.6 

0.7 

-f    8 

•*•    9 

*-3 
5.0 

*4 
5-3 

5-5 

z.6 
5-7 

a-7 
5-9 

1.8 
6.1 

64 

3.0 

6:6 

1:1 

3-* 

7-1 

3-3 
7-3 

-1-  10 

7-7 

8.1 

8.4 

8.7 

9-1 

94 

9.8 

1  0.1 

10.5 

10.8 

ii.* 

•4-  II 

10.4 

10.8 

11.3 

11.7 

1  1.1 

i»-7 

13.1 

13.6' 

14.1 

14.6 

15.1 

•4-  11 

13.0 

13.6 

14.2 

14-7 

I5-3 

15.9 

16., 

17.1 

17.7 

18.3 

18.9 

+  13 

»5-7 

16.3 

17.0 

17.7 

184 

19.1 

19.8 

10.5 

ai.i 

11.0 

12.7 

-+•  »4 

18.1 

19.0 

19.8 

10.6 

114 

aa.a 

13.1 

23.9 

14.8 

*S.6 

*6.S 

-«-  »5 

10.8 

11.7 

11.6 

2  3  -5 

144 

*54 

17.3 

*8.a 

ag.1 

30.1 

-4-  16 

*34 

144 

»54 

16.4 

»74 

a8.5 

*9-5 

30.6 

31.7 

31.8 

33-9 

•4-  l8 

184 

*7.o 
19.6 

28.1 
30.8 

19.1 
31.1 

304 
33-3 

£* 

35-9 

33-9 

$5 

39-8 

37.6 
41.1 

+  '9 

30-9 

3*-* 

33-5 

34-9 

36.1 

37.6 

39.0 

404 

41.9 

43-3 

448 

-4-  ao 

33-3 

34-7 

36.1 

37-6 

39-' 

40*6 

4*.i 

43.6 

45-a 

46.7 

48-3 

-4-  ai 

-4-   21 

35-7 

37-3 
ftj 

38.8 

404 
43.1 

41.0 
44-8 

43-6 
46.5 

48.1 

46.8 
50.0 

48-5 

5*.? 

50.1 
53.5 

51.8 
55-3 

4-  23 

40.5 

4*3 

44.0 

45.8 

47.6 

494 

51.1 

53-1 

55.0 

56.9 

58.8 

•+-  24 

41.9 

44-7 

46.6 

48.5 

504 

5*-3 

54-* 

56.1 

58.1 

O.I 

*.* 

-4-  l6 

45i 

47.6 

47.1 
49.6 

49.2 

•51.7 

53*8 

53-' 
559 

5l.o 

57.1 

I     0.2 

59-3 
i    1.3 

i    14 
i   4.5 

11 

5.6 
9.0 

-*>  27 
-f  18 

49-9 
51.1 

51.1 
54-5 

54.2 
56.7 

564 
59.0 

58.6 
i    1.3 

i   0.8 
i    3-6 

i    3.1 

i   6.0 

1   f3 
i    8.3 

i    7.6 
i  10.7 

1O.O 

13.* 

"1 

15.6 

TABLES  OF  REFRACTION. 


569 


ARGUMENTS:    EXTERNAL  THERMOMETER  AND  MEAN  REFRACTION. 

MEAN  REFRACTION. 

-  r* 

1440" 

H'  o" 

xs'io" 

13'4°" 

14'  o" 

I4'io* 

H'4o" 

15'  o" 

15'  40* 

15-40' 

i6'o* 

r-  « 

-4- 

+ 

-h 

+ 

-4- 

- 

-f- 

-t- 

-H 

+ 

* 

147-7 
X44.5 

M5-9 

154-9 
149-3 

151.8 

4     1.1 
156.3 

4    6-0 

159-9 

4    9.7 

*   34 

413.5 

4X74 
1  10.7 

441.3 
414.5 

445.3 

4  15.1 

-  15 

«37-3 

140.6 

143-8 

147.1 

150.5 

153-8 

157.1 

4    0.7 

4    4-4 

4    7.7 

1II.4 

-  14 

131.1 
147.1 
I  11.1 

*35-3 

x  30.1 

114.9 

1384 
«33-o 

147.7 

141.5 
i  36.0 
130.5 

144-7 
139-0 
133-3 

«47-9 
141.0 
i  36.1 

151.1 

•i  45.0 
139.0 

148.1 
141-9 

157.6 
I5I.4 
144.8 

1     1.0 
154-3 
147-8 

*  4-3 
1J7-5 
150.8 

—  14 
—  IX 

x  17-3 

119.8 

1114 

x  15.0 

117.7 

1304 

133.1 

135.8 

138.5 

1413 

144.1 

—  IO 

x  11.4 

1  14.8 

x  17.1 

i»9-7 

X  14.4 

144.7 

x  17.1 

i»9-7 

13*.3 

x  34.9 

137-5 

~  2 

x   7-5 

I    1.8 

1  9.8 

i   4-9 

X  Xl.l 

x   7.0 

1x44 
x   91 

I  16.7 
I  XI.4 

1  19.0 
H34 

i  15.6 

143-7 
1  17.8 

1  16.1 
X  10.0 

1  18.6 

144-3 

i  31.0 
1  14.6 

-    8 

-    7 

58.1 

I    OJO 

I  1.9 

1   I'9 

»     5-9 

x   7.9 

x  9.9 

x  11.9 

X  14.0 

1  16.1 

1  18.1 

-    6 

a  4 

55-1 

56-9 

58-7 

x   0.5 

i   *4 

1  fr* 

i   6.x 

I   8.0 

I  10.0 

i  11.9 

-    5 

•7 

504 

53-<> 

55.3 

57-o 

58.7 

i  04 

i    1.1 

i   3-9 

x    5-6 

—    4 

44.4 

45.6 

47.1 

48.6 

50.1 

51.6 

53-i 

54-7 

56.3 

57-9 

59-5 

-    3 

39-6 

40.9 

44.4 

43.6 

44-9 

4«>-3 

47-7 

49-x 

50.5 

51-9 

53-3 

—     4 

36.3 

374 

38.6 

39-8 

41.0 

41.1 

43-5 

44-7 

46.0 

47-3 

—     X 

30.7 

31.7 

31.7 

33-7 

34.8 

35-8 

36.9 

38.0 

39.1 

40.4 

41.3 

O 

16.1 
11.9 

47.X 
44.6 

18.0 

18.9 
14,1 

49.8 
44.8 

30.7 
45.6 

3,.6 
46.3 

3*-5 
47.1 

334 
17.9 

a? 

35-3 
*9-5 

•4-    I 

-»-     4 

17-5 

18.1 

18.7 

19-3 

19-9 

40.5 

41.  1 

41.7 

444 

13.0 

13.7 

•+•    3 

13-3 

*3-7 

14.1 

14.6 

15.0 

15-5 

16.0 

164 

16.9 

174 

17-9 

-»•    4 

9*3 

9.6 

9-9 

IO.4 

xo.6 

10.9 

ii.  i 

ii-5 

11.9 

11.4 

-+•    5 

I* 

5-o 

5-* 

5-3 

5-5 

5-7 

5-8 

6.0 

6.4 

64 

6.6 

-t-    6 

0.7 

0.7 

0.7 

0.8 

0.8 

0.8 

0.8 

0.9 

0.9 

o-9 

I.O 

+    7 

34 

7-5 

3-6 

7-8 

I-7 

8.0 

3-8 
8-3 

8^5 

4-o 
8.7 

4.x 

9-o 

4.4 
9.4 

4-3 
9-5 

91 

4-5 

IO.O 

-4-    8 

•+•    9 

1  1.6 

11.9 

11.3 

13.1 

13-5 

13.8 

14.1 

14.6 

15-0 

154 

-1-  10 

15.6 

16.1 

16.6 

17.1 

17.6 

18.1 

18.6 

19.1 

19.7 

40.1 

40.8 

-»-  XI 

19-5 
*34 

10.1 

44.4 

10.8 
15.0 

114 

45-7 

41.1 

l6.5 

44.7 
17.3 

ttJ 

44-1 
18.9 

14.7 
19.7 

454 
30.5 

46.1 
314 

-+-  11 

47.3 

18.1 

19.1 

30.0 

30.9 

31-8 

31.8 

33-7 

34-7 

35-6 

36.6 

-f-  14 

31-* 
35* 

34.1 
36.1 

33-4 

37-3 

31* 

384 

35-3 
39.6 

36.| 
40.8 

374 
41.0 

38-5 
43.1 

39-5 
444 

40.6 
45-6 

41.7 
46.8 

-I-  16 

38.8 

40.0 

41.3 

44.6 

43-9 

45-4 

46.5 

47-8 

49.1 

50.5 

51-9 

•*-  17 

4*-5 

43-9 

45-3 

46.7 

48.1 

49-5 

51.0 

5*4 

554 

56.9 

H-   18 

46.1 

47-7 

49.1 

50.8 

5a--3 

53-8 

554 

57-o 

5L 

I     0.1 

i    !-9 

+  19 

49-9 

51-5 

53-i 

54-* 

56.5 

58.1 

59-8 

i    1.5 

i    3-3 

i    5-0 

i   6.8 

-4-  10 

53-5 

55-3 

57.o 

58.8 

i   0.6 

44 

4.1 

I    6.0 

i   7-9 

i   9.7 

x  u.6 

-4-  11 

57-1 

59-o 

0.9 

4.8 

i    4.7 

6.6 

8-5 

1  10.5 

i  11.4 

i  144 

i  164 

-f-  44 

x   0.7 

x   1.7 

4-7 

6.7 

i    8.7 

10.7 

11.8 

H4-9 

i  17.0 

i  19.1 

i  ii.  i 

-4-  43 

x   4-3 
i   7.8 

6-3 

10.0 

11.4 

10.6 
144 

111.7 
1  16.7 

18.9 

17.0 

ii.  i 

I  19.1 
113.6 

1114 
115.9 

113.7 
1  18.1 

**5.9 
i  30.6 

+  *4 

-4-  45 

1x1.3 

13.6 

159 

1  8.4 

I  40.6 

13.0 

254 

147.8 

130-3 

i  31.8 

135-3 

+  16 

114.7 
1  18.1 

17-1 

10.7 

I  19.6 
113.1 

I  14.O 
115.8 

144.5 
1184 

17.0 
31.0 

19.5 
33-6 

136.3 

134.7 
139.0 

137-3 
MI-? 

1399 
144-5 

•+-  18 

570 


TABLES  OF  REFRACTION. 


TABLE  III.   CORRECTION  FOR  HEIGHT  OF  BAROMETER. 

MEAN  REFRACTION  +  CORR.  TAIL  II. 

K  i 

o'ao" 

o  40" 

I'o" 

l'2o" 

1*40  ' 

z'o" 

z'zo'' 

240" 

3'o" 

3'*>" 

3'4o" 

4'o" 

4'  2O" 

rff 

II 
I.I 

z"z 

ii 
3-3 

II 

44 

a 
5-5 

6.6 

7-7 

8.8 

9-9 

Il'.O 

IZ.I 

i3.z 

»4-3 

4 

1.0 

2.1 

3-1 

4.2 

5.2 

6.2 

7-3 

8-3 

9-3 

104 

11.4 

12.5 

J3-5 

5 

I.O 

•9 

2.9 

3-9 

4-9 

5-9 

6.8 

7.8 

8.8 

9.8 

10.8 

11.7 

12.7 

6 

7 
8 

0.9 

0.9 
0.8 

•7 
.6 

2.7 

2.6 

2.4 

3-7 
34 
5-* 

4.6 

4-3 

4.0 

11 

6.4 
6.0 
5-6 

£' 

6.4 

8.3 

7-7 
7-1 

M 

8.0 

IO.I 

u 

II.O 
I0.| 

9.6 

11.9 

10.4 

9 

0.7 

•S 

2.2 

2.9 

3-7 

44 

5* 

5-9 

6.6 

74 

8.1 

8.8 

9.6 

to 
ii 

0.7 
0.6 

4 

.2 

2.0 

1.8 

z.7 
i-5 

34 
3' 

4.1 

3-7 

4-7 
4-3 

54 
4-9 

6.1 

5-5 

6.8 
6.z 

U 

8.1 

74 

8!o 

27  o 

0.6 

I.I 

1-7 

2.Z 

2.8 

3-3 

3-9 

44 

5.0 

5-6 

6.1 

6.7 

7.2 

I 

0.5 

I.O 

'•5 

Z.O 

2.5 

3.0 

3-S 

4-o 

4-S 

5.0 

5-5 

6.0 

6-5 

2 

0.4 

0-9 

x-3 

1.7 

Z.Z 

2.6 

3-5 

3-9 

44 

4.8 

5-* 

5-7 

3 

0.4 

0.7 

i.i 

I-5 

x-9 

*-3 

2.6 

3.0 

34 

3-8 

4-1 

4-5 

4-9 

4 

°1 

0.6 

0.9 

1.3 

1.6 

1.9 

2.2 

2.5 

28 

3-* 

3-5 

3-8 

4.1 

5 

0.3 

0-5 

0.8 

I.O 

1.3 

1.3 

1.8 

2.O 

2.3 

z.6 

2.8 

3-* 

3-3 

6 

7 

0.2 
O.I 

0.4 
0.3 

0.6 
0.4 

0.8 

I.O 

0.7 

I.Z 

0.8 

0.9 

1.6 
i.i 

1.8 

I.Z 

z.o 
14 

2.2 

M 

M 

1.8 

8 

O.I 

O.I 

O.2 

0.3 

«4 

0.5 

0.5 

0.6 

0.7 

0.8 

0.8 

0.9 

I.O 

9 

O.O 

o.o 

0.0 

O.I 

O.I 

O.I 

O.I 

0.1 

O.I 

o.z 

o.z 

^ 

0.2 
^ 

0.2 

10 

O.O 

O.I 

O.I 

o.z 

o.z 

0.3 

0.3 

0.4 

04 

0.5 

0.5 

o-5 

0.6 

ii 

O.I 

0.2 

0.3 

0.4 

0.5 

0.6 

0.7 

0.8 

I.O 

I.I 

I.Z 

13 

X4 

28  o 

o.z 

0.3 

0-5 

0.7 

0.8 

I.O 

1.2 

i-3 

1.5 

'•7 

1.8 

2.0 

2.2 

I 

o.z 

0-5 

O.? 

0.9 

i.i 

M 

1.6 

1.8 

z.o 

2.3 

2.5 

2-7 

*-9 

z 

0.3 

0.6 

0.9 

I.Z 

M 

2.O 

2.3 

z.6 

1.9 

3.1 

34 

3-7 

3 

0.4 

0.7 

1.0 

*4 

1-7 

Z.I 

2.4 

2.8 

3-1 

3-5 

3-8 

4-* 

4-5 

4 

0.4 

0.8 

I.Z 

1.6 

z.o 

*4 

2.8 

3-3 

3-7 

4.1 

4-5 

4-9 

5-3 

5 

o-S 

0.9 

14 

1-9 

2.3 

z.8 

3-3 

3-7 

4-z 

4-7 

5.6 

6.1 

6 

0.5 

i.i 

1.6 

Z.I 

2.6 

3-* 

3-7 

4.2 

4-7 

5-3 

5.8 

6.3 

6.9 

I 

0.6 
0.7 

I.Z 

i-3 

1.8 
1-9 

z.6 

*-9 

3.2 

3-5 
3-9 

4-5 

4-7 
5-* 

H 

5-9 
6.5 

7-i 

7-8 

7-6 
84 

9 

0.7 

14 

Z.I 

2.8 

3.5 

4.2 

5.0 

5-7 

6.4 

7.1 

7-8 

8.5 

9* 

10 

0.8 

2.3 

3.1 

j.l 

4.6 

54 

6.1 

6.9 

7-7 

•4 

9.2 

IO.O 

ii 

0.8 

*-7 

*-5 

3-3 

5.0 

5.8 

6.6 

74 

8-3 

9-1 

9-9 

10.8 

49  o 

0.9 

1.8 

2.7 

3-5 

44 

5-3 

6.2 

7-' 

8.0 

8-9 

9.8 

10.7 

u.6 

I 

I.O 

1.9 

1.8 

3-8 

4-7 

5-7 

6.6 

z-6 

8.5 

9-5 

104 

114 

12.3 

2 

I.O 

2.O 

3.0 

4.0 

5-0 

6.0 

7-1 

8.1 

9-1 

IO.I 

ii.  i 

1  2.1 

13.1 

J)  Before  using  the  table,  a  correction  is  required  for  the  height  of  the 

barometer.  This  correction  depends  upon  the  attached  thermometer, 

and  is  taken  with  the  argument  t  —  t'  from  the  small  table  at  p.  564, 

j 

TABLES  OF  REFRACTION-. 


571 


ARGUMENTS:  CORRECTED  BAROMETER1)  AND  MEAN  REFRACTION  CORRECTED 

FOR  TEMPERATURE   BY  TAB.    II. 

M 

'BAN 

REFR/ 

\CTIO 

^J    + 

CORR. 

TAB 

II. 

01            '' 

4'40* 

5  o 

5'  20 

5'40* 

60 

6'  20* 

640 

7  o 

720 

740 

8*0" 

8  40 

9'o" 

»54 

rf, 

•7.5 

.£7 

1  9'  8 

20.9 

ll'.O 

23*.! 

24*3 

154 

26r5 

^ 

28^7 

H 

29.9 

14.5 

»3-7 

15.6 

14-7 

16.6 
'5-7 

»7-7 
16.6 

'8-7 
17.6 

IQ.8 

18.6 

20.8 

19.6 

21.9 

2O.6 

22.0 
21.6 

M!? 

1$ 

16.1 
14.6 

av6 

\i\ 

12.9 

I2.O 

13.8 
12.9 

14-7 
i.V7 

1*6 

16.6 
15-5 

»7-5 
16.3 

184 

17.1 

10.3 
18.1 

20.3  A 
18.9 

21.2 

10.8 

12.1 
20.7 

13.1 
11.6 

24.0 
224 

25.0 

II.I 

11.0 

12.8 

13.6 

14.4 

15.2 

l6.0 

16.8 

17.6 

184 

19.1 

2O.O 

20.9 

21.7 

10.3 

II.I 

11.8 

12.5 

»3-3 

14.0 

I4.8 

15.5 

16.3 

17.0 

17.8 

I8.5 

19-3 

20.0 

2-5 

IO.I 

10.8 

ii.S 

12.2 

12.9 

14.3 

15.6 

'6.3 

I7.O 

17.7 

184 

8.6 

9-3 

9-9 

10.5 

II.I 

11.7 

114 

13-0 

13.6 

14.9 

*5-5 

16.1 

16.8 

7.8 

84 

8.9 

9-5 

IO.O 

10.6 

II.I 

11.7 

12.3 

12.9 

»34 

14.0 

14.6 

15.1 

7.0 

Z'5 

8.0 

8.5 

9.0 

9.5 

IO.O 

10.5 

Il.O 

11.5 

I2.O 

12.5 

13.0 

»35 

6.1 

5-3 

6.5 
5-6 

7.0 

6.0 

74 
64 

Q 

8-3 
7-* 

8-7 
7-5 

9.1 
7-9 

8\3 

IO.I 

8-7 

I0.5 

Il.O 

94 

114 
9.8 

11.9 

IO.I 

44 
3.6 

+-Z 

3.8 

4-1 

54 

4-4 

a 

6.0 

4-9 

6.3 
5-' 

6.7 

54 

5*6 

7-3 
5-9 

I'6 

6.1 

I'9 
64 

8-3 

6.7 

8.6 
6.9 

2.7 

1.9 

3.1 

33 

3-5 

3-7 

3-9 

4.1 

4-3 

4-5 

4-7 

4-9 

5.1 

5-3 

J-9 

2.0 

2.2 

4-3 

*4 

2.6 

2.7 

1.8 

3-2 

34 

3-5 

3-7 

I.O 

I.I 

I.I 

'•3 

M 

M 

»-5 

1.6 

i.6 

'•7 

1.8 

19 

2.0 

2.0 

0.2 

0.2 

O.2 

0.3 

0.3 

0.3 

0.3 

0.3 

0.3 

0-3 

04 

04 

04 

04 

0.6 

0.7 

0.7 

0.8 

0.8 

0.9 

0.9 

I.O 

I.O 

i.i 

i.i 

i.i 

1.2 

1.2 

1.5 

1.6 

1-7 

1.8 

I-9 

1.0 

2.1 

1.1 

2.3 

1.5 

1.6 

a-7 

2.8 

1.9 

*-3 

2-5 

*-7, 

1.8 

3-° 

3-* 

3-3 

3-5 

3-7 

3-8 

4.0 

4-a 

44 

4-5 

3-* 

34 

3.6 

3-8 

4.1 

4-3 

4-5 

4.8 

5.0 

5.1 

5-5 

5-7 

5-9 

6.2 

4.0 

4-3 

4.6 

4-9 

5.1 

5-5 

5-7 

6.0 

6-3 

6.6 

6.9 

7-* 

7-5 

7.8 

4-9 

5-* 

5-<> 

5-9 

6.3 

6.6 

7-0 

7-3 

7-7 

8.0 

84 

8.7 

94 

5-7 

6.1 

6-5 

6-9 

Z'3 

7-8 

8.1 

8.6 

9.0 

94 

9-8 

10.1 

10.7 

ii.i 

6.5 

7.0 

Z'5 

7-9 

84 

8.9 

94 

9-8 

10.3 

10.8 

11.3 

11.7 

12.2 

12.7 

LI 

u 

84 

94 

9.0 

IO.O 

9-5 
10.6 

IO.O 

11.1 

10.6 

n.8 

ii.i 

124 

1  1.6 
12.9 

12.2 

iV6 

12.7 
14.1 

13.3 
14.8 

13-8 

»54 

J4-3 
16.0 

9* 

9-7 

104 

Il.O 

11.7 

"•3 

13.0 

13.7 

15.0 

15.6 

16.3 

17.0 

17.6 

99 

10.6 

11.3 

12.0 

12.8 

13.5 

14.2 

14.9 

15.6 

164 

'I'* 

77.8 

18., 

19.3 

10.8 
1  1.6 

11.5 

12.4 

12.3 

I3.I 
I4.I 

13-9 
»4-9 

14.6 
15.8 

»54 
16.6 

1  6.2 

17.0 
I8.3 

17.8 
19.1 

too 

19.3 

20.8 

20.  i 

21.7 

20.9 
11.5 

11.4 

134 

14.1 

I5.I 

1  6.0 

16.9 

17.8 

18.7 

19.6 

20.5 

11.5 

124 

23.3 

24.1 

'33 
14.1 

14.1 
15.1 

'P 

16.1 

16.2 

17.1 

1  8.1 

18.1 
19.1 

19.0 

20.1 

2O.O 

21.0 
22.3 

21.9 
*3-3 

21.9 
24.4 

23.9 

24.9 
264 

25.8 
*75 

Example: 

App.  Alt.  4°  18'31".0                        Tab.  I.  App.  Alt.  4°  18'  31"  ...  11'    1".5 

Barometer  28"  5'".3  P.  M.                   „           M    refr    ir  r>6> 
Therm,  external  t  -  —  12°.5  H.                        Therm    —  12°  5(    -  .  .  +  1   15  .6 

attached  t'  =  —   4  .8 

.,           -o,^              «»/*o                "  TTT   M.refr.+Tb.II.12'17"l.  ) 
t_t  =    -7«.7  Corn  -0"'.52                     -H.  Corf    „                28"4'".78    +  0  17  .0 
Barom.    .  .  .  28    5  .30 

Corr.  Barom.    .  .  .  28"  4":78 

on          ...      .12': 

W.  I 

572 


TABLES  OF  REFRACTION. 


TABLE  III.   CORRECTION  FOR  HEIGHT  OF  BAROMETER. 

MEAN  REFRACTION  +  CORR.  TAB.  II. 

C  ?: 

• 

9  o 

9  20 

9  40 

IO  O 

10  20  '  to  40 

II   O 

ii  20 

II  40 

12  0 

12  1C 

12  40 

13  o 

26*3" 

29.9 

3i".o 

32*2 

u 

33-3 

344 

35*5 

36.7 

37'8 

39*0 

40*1 

4**3 

414 

4V6 

4 

i 

28.2 
26.6 
25.0 

29.3 
27.6 
25.9 

3°4 
28.6 
26.9 

29.6 

27.8 

30.6 
28.8 

33-6 
31.6 
29.7 

34.7 
32.7 

30.6 

35-7 
33-7 
31.6 

36.8 

34-7 
32.6 

379 
35-7 
33-5 

39-0 
36.7 
34-5 

4O.I 

37.8 
354 

41.2 
38.8 
36.4 

I 

21.7 

24.2 
22.5 

25.1 
23.3 

26.0 
24.2 

26.9 
25.0 

27.8 
-25-8 

28.6 
26.6 

29.5 

»7-5 

3°4 
28.3 

29.1 

3*-3 
30.0 

33-J 
30.8 

34-0 
31.6 

9 

2O.O 

20.8 

21.6 

22.3 

23.1 

27.9 

24.6 

*54 

26.2 

26.9 

27.7 

28.5 

20.2 

10 

18.4 

19.1 

19.8 

20.5 

21.2 

21-9 

21.6 

43.7 

24.0 

>4-7 

»54 

26.1 

26.9 

ii 

16.8 

174 

1  8.0 

18.7 

x9-3 

20.0 

10.6 

2I.X 

21.9 

22.5 

23.2 

13-8 

24.5 

27  o 

15.1 

15.7 

16.3 

16.9 

174 

18.0 

1  8.6 

19.2 

19.7 

20.3 

20.9 

41.5 

22.1 

I 

13.5 

14.0 

'4-5 

15.0 

»5-5 

16.1 

16.6 

I7.I 

17.6 

1  8.1 

1  8.6 

19.2 

J9-7 

2 

11.9 

12.3 

12.8 

13.2 

13-7 

14.1 

14.6 

15.0 

15-5 

'5-9 

164 

16.9 

3 

IO.2 

106 

1  1.0 

"4 

1  1.8 

12.2 

12.6 

12.9 

»3-3 

»3«7 

14.1 

»4-5 

'4-9 

4 

8.6 

8.9 

9.2 

9.6 

2-9 

IO.2 

10.5 

10-9 

II.  2 

11.5 

1  1.  9 

12.4 

12.5 

5 

6.9 

7.2 

7-5 

7-7 

8.0 

8-3 

8-5 

8.8 

?.I 

9-3 

9.6 

9.9 

IO.I 

6 

5-3 

55 

5-7 

5-9 

6.1 

6-3 

6-5 

6.7 

.0 

7-1 

7-3 

7-5 

7-7 

7 

3-7 

4.0 

4.1 

4-* 

44 

4-5 

4.6 

4-8 

4-9 

5.1 

5-* 

54 

8 

2.O 

2.1 

2.2 

2.3 

2-3 

*4 

2.5 

2.6 

a-7 

4.7 

2.8 

2.9 

3° 

9 

0-4 

0.4 

0.4 

0.4 

0.5 

o-5 

0.5 

o-5 

0.5 

0.5 

o-5 

0.6 

0.6 

10 

1.2 

i-3 

1-3 

»4 

'•5 

1.6 

1.6 

i-7 

1.8 

i  8 

ii 

2.9 

3-° 

3-* 

3-* 

3-3 

34 

3.5 

3-6 

3.8 

3-9 

4.0 

4-1 

4-1 

28  o 

4-5 

4-7 

4-9 

5-° 

5-* 

54 

5.6 

5-7 

5-9 

6.1 

6.2 

64 

6.6 

I 

6.2 

6.4 

6.6 

6.9 

7-3 

7.6 

7-8 

8.0 

8-3 

8.5 

8-7 

9.0 

2 

7-8 

8.1 

8.4 

8.7 

9.0 

9-3 

9.6 

9-9 

IO.2 

10.5 

10.8 

ii.  i 

114 

3 

94 

9.8 

IO.I 

10.5 

10.9 

ix.a 

11.6 

11.9 

12.3 

14.7 

13.0 

134 

13.8 

4 
5 

ii.  i 

12.7 

11.5 

13.2 

11.9 

13.7 

12.3 
14.2 

12.8 

14.6 

13.1 
15.1 

13.6 
»5-6 

14.0 
16.1 

14.4 
16.6 

14.9 
17.1 

'5-3 

17-6 

!i:I 

16.2 
18.5 

6 

J4-3 

14.9 

154 

1  6.0 

16.5 

17.1 

17.6 

18.2 

I8.7 

19.3 

19.8 

20.4 

20.9 

7 

16.0 

1  6.6 

17.2 

17.8 

18.4 

19.0 

19.6 

20.2 

2O.9 

41.5 

22.1 

22.7 

23.3 

8 

17.6 

18.3 

19.0 

19.6 

20.3 

2I.O 

21.6 

22.3 

a3-° 

24.4 

25.0 

25.7 

9 

»9-1 

2O.O 

20.7 

21.5 

22.1 

22.9 

»3-7 

*44 

25.1 

»5-9 

46.6 

274 

28.1 

10 

20.9 

21.7 

22.5 

*3>3 

24.1 

24.9 

25.7 

26.5 

27.5 

28.1 

28.9 

29.7 

30.5 

ii 

22.5 

*34 

24.2 

25.1 

26.O 

26.8 

27.7 

28.5 

29.4 

3°-3 

3I.I 

31.0 

3»-9 

29  o 

24.2 

25.1 

26.0 

26.9 

27.8 

28.8 

29.7 

30.6 

31.6 

32.5 

334 

34-3 

35-3 

1 

2 

25.8 

26.8 
78.5 

27.8 
29.5 

28.8 
30.6 

29.7 
31.6 

30.7 
32.7 

31.7 

33-7 

31.7 

34.8 

33-Z 
35-8 

34-7 
36-9 

35-7 
37-9 

36.7 
39.0 

37-7 
40.1 

J)  Before  using  the  table,  a  correction  is  required  for  the  height  of  the 

barometer.  This  correction  depends  upon  the  attached  thermometer, 

and  is  taken  with  the  argument  t  —  t'  from  the  small  table  at  p.  564. 

TABLES  OF  REFRACTION. 


573 


ARGUMENTS:  CORRECTED  BAROMETER1)  AND  MEAN  REFRACTION  CORRECTED 

FOR  TEMPERATURE  BY  TAB.   II. 

MEAN  REFRACTION  +  CORR.  TAB.  II. 


t 

I]  20 

1340 

14  o 

14  20 

1440 

15  o 

15  20 

1540 

16  o 

16  20 

1640 

'7  o 

17  20 

«7  40 

44* 

a 
45-9 

i/ 
47.1 

48:2 

ji 
494 

5*5 

H 

5»-7 

n 
52.9 

54-* 

55*3 

,» 

564 

57*6 

58.8 

f  " 
tab 

4*'I 

43-4 

44-5 

45.6 

46.7 

47.8 

48.9 

50.0 

5I-f 

52.2 

534 

54-5 

556 

56-7 

39.8 

40.9 

41.9 

42.9 

44.0 

45.0 

46.1 

47-i 

48.2 

49.2 

50.3 

5J'3 

5*4 

534 

37-4 

381 

39-3 

40.3 

41-3 

4*-3 

43-2 

44.2 

45-* 

46.2 

47-* 

48.2 

49.1 

50.1 

34-9 
3*5 

35-8 
33-3 

36.7 
34-* 

37.6 
35.0 

38.6 
35-9 

39-5 
36.7 

40.4 
37-6 

4J-3 
38.4 

424 
39-3 

43-* 
40.1 

44-i 
41.0 

45.0 
41.8 

45-9 

42.7 

46.0 
43.6 

30.0 

30.8 

31.6 

3*4 

33-i 

33-9 

34-7 

35-5 

36.3 

37.1 

37-9 

38-7 

39-5 

40.3 

27-6 

28.3 

29.0 

29.7 

3°4 

31.2 

31.9 

3*-6 

33-3 

34-  * 

34-8 

35-5 

36.3 

37-o 

*5-i 

15.8 

264 

27.1 

27.7 

284 

29.0 

29.7 

304 

31.0 

31.7 

3*4 

33.0 

33-7 

**-7 

*3-3 

23.8 

04-4 

25.0 

25.6 

26.2 

26.8 

*74 

28.0 

28.6 

29.2 

29.8 

304 

10.1 

17.8 

20.7 

18.1 

*S'3 
18.7 

21.8 
10.2 

22.< 
19.6 

22.8 
20.1 

*34 

20.5 

*3-9 

21.0 

244 
21.5 

25.0 
21.9 

*5-5 
224 

26.0 
22.9 

26.6 
*34 

*7i 
*3-8 

»5-3 

»S-7 

16.1 

l6.5 

16.9 

»7-3 

17.7 

18.1 

18.5 

18.9 

19.3 

19.7 

20.  i 

20.5 

12.9 

13.4 

13-5 

13.9 

I4.2 

I4-2 

14.9 

15.2 

'5-5 

»5-9 

16.2 

16.6 

16.9 

17.2 

104 

10.7 

10.9 

1  1.2 

«-s 

ISJ 

I2.O 

12.3 

12.6 

12.0 

13.1 

134 

13.7 

14.0 

7-9 

8.x 

8-4 

8.6 

8.8 

9-0 

9-* 

94 

9.6 

9-8 

IO.O 

IO.2 

10.5 

10.7 

5-5 

5-6 

5-8 

5-9 

6.1 

6.2 

64 

6.5 

6.6 

6.8 

6-2 

7-i 

7-* 

74 

3.0 

3» 

3-* 

.  3-3 

34 

34 

3-5 

3.6 

3-7 

3-8 

3-8 

3-9 

4.0 

4-' 

0.6 

_j_ 

0.6 

-f. 

0.6 

_f_ 

0.6 

•+* 

0.7 

^_ 

0.7 
^ 

0.7 

o-7 

_4_ 

0.7 

^ 

0.7 

_f_ 

0.7 

^. 

0.8 

^ 

0.8 

_f_ 

0.8 

-f. 

»-9 

»-9 

2.0 

a.o 

a.  i 

2.1 

2.2 

2.2 

^n 

*-3 

2.3 

*4 

*4 

*-5 

*-5 

4-3 

4-4 

4-5 

4.6 

4.8 

4-9 

5-o 

5-i 

5-* 

5-3 

5-5 

5-6 

5-7 

5-8 

6.8 

6.9 

7-i 

7-3 

7-5 

7-7 

7.8 

8.0 

8.2 

84 

8.5 

8-7 

8.9 

9-» 

9-» 

9-5 

9-7 

99 

10.2 

104 

10.7 

IO.Q 

11.2 

11.4 

1  1.6 

11.9 

I2.I 

1*4 

11.7 
14.1 

12.0 

'4-5 

12.3 
14.9 

12.6 

15.1 

11.0 

15.6 

11.2 
IO.O 

Xl'5 
16.3 

I|j 

l6.7 

I4.I 
I7.I 

14.4 
»7-5 

14.7 
17.8 

'I'1 
18.2 

Ii.1 

15-7 
19.0 

1  6.6 

17.0 

17.5 

17.9 

18.3 

18.8 

19.2 

19.6 

20.1 

20.5 

20.9 

214 

21.8 

22.3. 

19.0 
11.5 

'9-5 

22.1 

2O.O 
22.6 

20.5 
23.2 

2I.O 

22.7 

21.5 

*4-3 

22.0 
H.9 

22.5 

*54 

23.0 
26.0 

3* 

24.0 
27.1 

*4-5 
27.7 

a§-X 
28.3 

t«J 

28.9 

13.9 

24.6 

25.2 

25.8 

«M 

27.1 

27.7 

28.3 

29.0 

29.6 

30.2 

30.9 

3»-5 

32.2 

26.4 

27.1 

27.8 

28.5 

29.2 

29.8 

3<>-5 

31.1 

31.9 

32.6 

33-3 

34.0 

34-7 

354 

28.8 

29.6 

304 

31i 

31.9 

3*.6 

334 

34-» 

34-9 

35-7 

364 

37.2 

38.0 

38.7 

3»-3 
33-8 

3*i 

34.6 

32.9 

35-5 

33.8 
364 

34-6 
37-3 

3H 
38.2 

36.2 
39.1 

37.0 
40.0 

37-9 
40.8 

38.7 
4'-7 

39-5 
42.6 

404 
43-5 

41.2 
444 

42.0 
45-3 

36.1 

37-* 

38.1 

39.0 

40.0 

40.9 

41.9 

42.9 

43-8 

44-8 

45-7 

46.7 

47-7 

48.6 

3X.7 

39-7 

40.7 

41-7 

4*-7 

43-7 

44-7 

45.8 

46.8 

47-8 

48.8 

49-9 

50.9 

5*-9 

41.1 

42.1 

43-3 

44-3 

454 

46.5 

47.6 

48.7 

49-7 

50.8 

5i.9 

53-0 

54.1 

55-* 

App.  Alt.  11°  18'  0" 
Barom.  28".31  Engl. 
Therm,  external  85°  Fh. 

"       attached  70 
Reduction   (see  p.  564.) 
Barom.  28.25  .  .  26"  6'" 
.06  .68 


Example  : 

Tab.   I.  App.  Alt.  11'  18'  0"  ...  4'  41  ".0 

,    TT   M.  refr.  4'41"      (  9O    «. 

ILTherm.  +  23'.6j    •     •    -  — 20  -5 

„  in    M.  refr.  +  Tab.  IIA'21"[  _  u    0 
Corr.  Bar.  26"  7"'.  14 


28.31  .  .  26"  6.68 
Therm.  85°  =  83.75  +  1.25  =  23°  +  0.44  Refraction   . 

+     09 
+     02 

23e.55  =  23.6  =  t 
70°  =  68"  +2°     .     .     16°  +  0.89 

=  16°.89  ~  16.9  =  t' 
t  —  t'  =  +  6'-.7  Corr.  +  0'".46 
Corr.  Bar.  26"7'".14 


4'  9".5 


574 


CONSTANTS. 

Base  of  Naperian  logarithms t 

Log.  i  =  Modulus  of  common  logarithms  .    .    .    .    M 

Radius  reduced  to  seconds    

„  „        „  minutes 

»  .,         „  degrees 

360  degrees  expressed  in  seconds 

it         m  MM  minutes 

M         M  »          n  degrees 

Diameter  i,  circumference n  * 

i 


*/ — 

Vf 


-  2.7181818 

=  0434*945 

106164.8 

3437.7468 

57.29578 

1296000 

21600 

360 

3.14159265 

0.3183099 
9.8696044 
I-77«4539 


log. 

0434*945 

9.6377843-10 

5.3144251 

3.5362739 

1.7581226 

6.1126050 

4-3344538 
2.5-563025 


9.5028501  —  10 


0.2485749 
9.9063329-10 


Dimensions  of  the   Earth   according  to  Bessel: 

Semi-axis  major a  =  3272077.14  toises 

Semi-axis  minor b  =  3261139.33 

a  in  English  feet 

b   ,,        „          „ 

a  in  English  miles      ...... 

b  „  „         


Ellipticity  of  meridian    . 
Kxcentricity  of  meridian 


20023597 
20853654 
3962.8025 

3949-5557 
a  — b 


0.08169683 


Horizontal  equatoreal  parallax  of  the  Sun  according 

to  Encke 8". 57116 

Distance  of  the  Earth  from  the  Sun  =  95364768  Engl.  mis. 

Year  accord',  to  Hansen  i  sidereal  365.2563582  mean  days. 
and  Olufsen  (tropical  365.2422008 


Precession  according  to  Bessel 
„   Strove 


50". 21 129  -t-  o, 
50.2298      •+•  0.00021 


6.5148235 
6.5131694 
7.3206*63 
7.3191822 
3.5980024 
3.5965482 

7.5241069—10 
8.9122052—10 


0.9330396 
7.9793886 
2.5625078 
2.56258 


.00024429161  (epoch  1750) 
.0002261  „         „ 


Equatoreal  ( (Bessel)    m  —  4&".oi8z4  -f-  o'  .000308645 1 
precession  '(Struve)   01  =  46  .0481   -»-o  .0002841 


:  20*.06442  —  O". 00009702041 

Diurnal  precession  =  o".i3759  (1856) 
Aberration  according  to  Delambre      =  20". 255 

„  „          „  Strove  =  20  4451 

Nutation  „          „  v.  Lindenau  =    8  .97707 

„  „          „  Peters  =    Q  .2231 

Obliquity  of  the  i  ace*,  to  Strnve  (1750}  23  28  17  .44  _  0  .*..» 

ecliptic         I        and  Peters  (18001  23  27  54  .22 
Light  is  propagated  from  i  acc^.  to  Delambre  in  493  .198 
the  Sun  to  the  Earth     I    „      „  Strnve        „  497  .827 

Voi/w.;      «f  I;«K»         I  ftcclf  • to  Delambre  193360.0  Eng.  ml. 
Velocity  of  light        {   ^     ^  gtruve       ^I56z.0    f  *    >f 


2.6930213 

2.6070785 
5.2863666 
5.2823094 


Masses   of  the   Planets,   the   Sans  mass   being  =  i. 


(Encke) 
(Le  Verrier) 
(Le  Verrier) 


Jupiter 
Saturn 
Uranus 


(Bessel) 

1047.879 

l—r-  (Bessel) 

3501.6 

(Lament) 


(Burckhardt)     Neptune 


24905 
i 


Moon 


79.667 


18780 
of  the  mass  of  the  Earth  (Hausen) 


(Peirce) 


Attraction  of  the  Sun  <  k  m  parts  of  the  radius    0.0172021    8.2355814  —  10 
according  to  Gauss  (k  in  seconds  of  arc         3548.18761    3.5500066 


575 


AUXII. 

IAR\ 

TABLE 

s 

Arc. 

log.  sin. 

T 

Arc. 

log.  tang. 

4.685  5740 

i'  30" 

6.681 

4.685  5749 

2'  36" 

6.879 

5748 

5747 
5746 
5745 

3  «» 

III 

7  44 

6.981 
7.181 
7.*83 
7-35* 

5750 
575' 
575* 
5753 

3  18 

4  22 

5  »3 

5  57 

6.981 
7.104 
7.181 
7.238 

4.685  5744 

844 

74°5 

5754 

6  36 

7-**3 

5743 

574* 
5741 
5740 

937 
10  26 
ii  ii 

ii  54 

7-447 
7.481 
7.511 
7.539 

4-685  5755 
5756 
5757 
5758 

7  « 
7  44 
fi5 
8  44 

7.310 

7-35* 
7.380 

7-405 

4.685  5739 

ii  34 

7-563 

5759 

9  " 

7-4*7 

5738 
5737 
5736 
5735 

13  ii 
13  48 
14  13 
14  56 

7.584 
7.604 
7.622 
7.638 

4.685  5760 
5761 
5762 
5763 

9  37 

10  ^ 
10  16 
10  49 

7447 
7465 
7.481 
7.498 

4.685  5734 

15  18 

lAAl 

5764 

ii  ii 

7.511 

5733 
573* 
5731 
5730 

16  o 
16  30 
16  50 
17  18 

7.668 
7.681 
7.694 
7.706 

4.685  5765 
5766 

5767 
5768 

«  33 
ii  54 
ii  14 

i*  34 

7.526 
7-539 
7-551 
7-563 

4.685  5729 

17  56 

7.717 

5769 

ii  53 

7-574 

5718 
57*7 
57*6 
57*5 

18  11 
18  48 
19  14 
19  39 

7.718 
7.738 
7-748 
7-757 

4.685  5770 
57?i 
577* 
5773 

13  ii 

13  3° 
13  48 
14  6 

7-584 
7-594 
7.604 
7.613 

4.685  5704 

20  4 

7.766 

5774 

14  13 

7.622 

57*3 
57** 
57*i 
57*o 

10  18 

10  51 

11  1C 

11  38 

7-775 
7.783 
7.791 
7-799 

4-685  5775 
5776 

5177 
5778 

14  40 
14  56 
*5  i3 
»5  *9 

7.630 

7638 
7.646 

7.654 

4.685  5719 

22   I 

7.806 

5779 

IS  44 

7.661 

5718 

5717 
5716 

57i5 

11  13 

21  44 
13  6 
23  27 

7.814 
7.820 
7.817 
7.834 

4.685  5780 
5781 
5781 
5783 

1  6  o 
16  15 
16  30 
16  44 

7.668 
7.675 
7.681 
7.687 

4.685  5714 

*3  47 

7.840 

5784 

16  59 

7.694 

57'3 
57" 
57" 
5710 

24  8 
24  28 
24  48 
25  8 

7.846 
7-85* 

7l28 
7.864 

4.685  5785 
5786 

57fZ 
5788 

17  13 
17  *7 
17  41 
»7  55 

7.700 
7.706 
7.711 
7.717 

4.685  5709 

25  27 

7.869 

5789 

i$  9 

7-7*3 

5708 

57°7 
5706 

57°5 

25  46 

*J  5 
26  24 

26  42 

7-875 
7.880 
-7.885 
7.890 

4.685  5790 

579' 

579* 
5793 

18  11 
18  35 
18  49 

19   2 

7.728 
7-733 
7-738 
7-743 

4.685  5704 

17  o 

7.895 

5794 

19  14 

7-748 

5703 
57°* 
5701 
5700 

27  18 
27  36 

*7  54 
28  ii 

7.900 

7-905 
7.909 

7-9*4 

4-685  5795 
5796 
5797 
5798 

19  17 

»9  39 
19  51 

20  4 

7-753 
7-757 
7.761 
7.766 

•  4-685  5699 

28  29 

7.918 

5799 

20  16 

7.771 

5698 

5697 
5696 

5695 

28  46 

*9  3 
19  19 

*9  36 

7-9*3 
7-9*7 
7-931 
7-935 

4.685  5800 
5810 
5820 
5830 

20  28 
21  13 

24  8 
25  46 

7-775 
7-8i4 
7.846 

7-875 

4.685  5694 

*9  53 

7-939 

5840 

17  19 

7.900 

5693 
5691 
5691 
5690 

30  9 
30  15 
30  41 
30  57 

7-943 
7-947 
7-951 
7-954 

4.685  5850 
5860 

g£ 

18  46 
30  9 
31  18 
3*  46 

7-9*3 
7-943 
7.961 

7-979 

4.685  5680 
5670 

33  *9 
35  5° 

7-988 
8.018 

5890 
5900 

33  58 
35  9 

7-995 
8.010 

THE  LIBRARY 
UNIVERSITY  OF  CALIFORNIA 

Santa  Barbara 


55- 

V.S- 


THIS  BOOK  IS  DUE  ON  THE  LAST  DATE 
STAMPED  BELOW. 


Series  9482 


Ij 

, 


A    000806187     1 


